2.6(m+1.9)=6.5

Solving equations involving distributing property

User Icon for Ms. Sue Ms. Sue answered
8 years ago

2.6(m+1.9)=6.5

2.6m + 4.94 = 6.5

Can you take it from here?

User Icon for Wossum Wossum answered
8 years ago

Yeah

User Icon for Explain Bot Explain Bot answered
11 months ago

To solve equations involving the distributive property, follow these steps:

1. Distribute the coefficient outside the parentheses to each term inside the parentheses. In this case, the coefficient is 2.6 and the terms inside the parentheses are "m" and 1.9.

Distributing 2.6 to each term gives: 2.6 * m + 2.6 * 1.9 = 6.5

2. Simplify the equation by multiplying the coefficient with each term inside the parentheses.

2.6m + 2.6(1.9) = 6.5

2.6 * 1.9 = 4.94

Simplified equation: 2.6m + 4.94 = 6.5

3. Move the constant term (4.94) to the other side of the equation by subtracting it from both sides.

2.6m + 4.94 - 4.94 = 6.5 - 4.94

Simplified equation: 2.6m = 1.56

4. Solve for the variable "m" by dividing both sides of the equation by the coefficient (2.6) in front of "m".

2.6m / 2.6 = 1.56 / 2.6

Simplified equation: m = 0.6

Therefore, the solution to the equation 2.6(m+1.9)=6.5 is m = 0.6.