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Simplifying 7 + -3(-4k + 2k) = 0 Combine like terms: -4k + 2k = -2k 7 + -3(-2k) = 0 Remove parenthesis around (-2k) 7 + -3 * -2k = 0 Multiply -3 * -2 7 + 6k = 0 Solving 7 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = 0 + -7 6k = 0 + -7 Combine like terms: 0 + -7 = -7 6k = -7 Divide each side by '6'. k = -1.166666667 Simplifying k = -1.166666667
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