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Simplifying 9(k + -4) + -7k = 5(3k + -2) Reorder the terms: 9(-4 + k) + -7k = 5(3k + -2) (-4 * 9 + k * 9) + -7k = 5(3k + -2) (-36 + 9k) + -7k = 5(3k + -2) Combine like terms: 9k + -7k = 2k -36 + 2k = 5(3k + -2) Reorder the terms: -36 + 2k = 5(-2 + 3k) -36 + 2k = (-2 * 5 + 3k * 5) -36 + 2k = (-10 + 15k) Solving -36 + 2k = -10 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -36 + 2k + -15k = -10 + 15k + -15k Combine like terms: 2k + -15k = -13k -36 + -13k = -10 + 15k + -15k Combine like terms: 15k + -15k = 0 -36 + -13k = -10 + 0 -36 + -13k = -10 Add '36' to each side of the equation. -36 + 36 + -13k = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13k = -10 + 36 -13k = -10 + 36 Combine like terms: -10 + 36 = 26 -13k = 26 Divide each side by '-13'. k = -2 Simplifying k = -2
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