Question

−0.4(−3.5k+2.9)=□ k−1.16[tex]

Answer 1

To solve the equation -0.4(-3.5k+2.9) = k-1.16, follow these steps: distribute -0.4, simplify, isolate k terms, simplify, and solve for k. The value of k that satisfies the equation is 0.

Step-by-step explanation:

To solve the equation -0.4(-3.5k+2.9) = k-1.16, we can follow these steps:

1. Distribute -0.4 to -3.5k and 2.9, giving us -0.4(-3.5k) + -0.4(2.9) = k - 1.16.
2. Using the distributive property, simplify the expression on the left side: 1.4k - 1.16 = k - 1.16.
3. Move all the k terms to one side of the equation and all the constant terms to the other side: 1.4k - k = 1.16 - 1.16.
4. Simplify the equation: 0.4k = 0.
5. Divide both sides of the equation by 0.4 to solve for k: k = 0.

Therefore, the value of k that satisfies the equation is 0.