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Simplifying 9(k + -4) + -7k = 32 + -2(k + 5) Reorder the terms: 9(-4 + k) + -7k = 32 + -2(k + 5) (-4 * 9 + k * 9) + -7k = 32 + -2(k + 5) (-36 + 9k) + -7k = 32 + -2(k + 5) Combine like terms: 9k + -7k = 2k -36 + 2k = 32 + -2(k + 5) Reorder the terms: -36 + 2k = 32 + -2(5 + k) -36 + 2k = 32 + (5 * -2 + k * -2) -36 + 2k = 32 + (-10 + -2k) Combine like terms: 32 + -10 = 22 -36 + 2k = 22 + -2k Solving -36 + 2k = 22 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -36 + 2k + 2k = 22 + -2k + 2k Combine like terms: 2k + 2k = 4k -36 + 4k = 22 + -2k + 2k Combine like terms: -2k + 2k = 0 -36 + 4k = 22 + 0 -36 + 4k = 22 Add '36' to each side of the equation. -36 + 36 + 4k = 22 + 36 Combine like terms: -36 + 36 = 0 0 + 4k = 22 + 36 4k = 22 + 36 Combine like terms: 22 + 36 = 58 4k = 58 Divide each side by '4'. k = 14.5 Simplifying k = 14.5
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