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Simplifying -3(3 + 5k) = -7(k + -1) (3 * -3 + 5k * -3) = -7(k + -1) (-9 + -15k) = -7(k + -1) Reorder the terms: -9 + -15k = -7(-1 + k) -9 + -15k = (-1 * -7 + k * -7) -9 + -15k = (7 + -7k) Solving -9 + -15k = 7 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -9 + -15k + 7k = 7 + -7k + 7k Combine like terms: -15k + 7k = -8k -9 + -8k = 7 + -7k + 7k Combine like terms: -7k + 7k = 0 -9 + -8k = 7 + 0 -9 + -8k = 7 Add '9' to each side of the equation. -9 + 9 + -8k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8k = 7 + 9 -8k = 7 + 9 Combine like terms: 7 + 9 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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