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Simplifying 39 = 4(-3k + -3) + 3(k + -7) Reorder the terms: 39 = 4(-3 + -3k) + 3(k + -7) 39 = (-3 * 4 + -3k * 4) + 3(k + -7) 39 = (-12 + -12k) + 3(k + -7) Reorder the terms: 39 = -12 + -12k + 3(-7 + k) 39 = -12 + -12k + (-7 * 3 + k * 3) 39 = -12 + -12k + (-21 + 3k) Reorder the terms: 39 = -12 + -21 + -12k + 3k Combine like terms: -12 + -21 = -33 39 = -33 + -12k + 3k Combine like terms: -12k + 3k = -9k 39 = -33 + -9k Solving 39 = -33 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 39 + 9k = -33 + -9k + 9k Combine like terms: -9k + 9k = 0 39 + 9k = -33 + 0 39 + 9k = -33 Add '-39' to each side of the equation. 39 + -39 + 9k = -33 + -39 Combine like terms: 39 + -39 = 0 0 + 9k = -33 + -39 9k = -33 + -39 Combine like terms: -33 + -39 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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