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Simplifying 74 = -5(3k + -6) + 7(2k + 6) Reorder the terms: 74 = -5(-6 + 3k) + 7(2k + 6) 74 = (-6 * -5 + 3k * -5) + 7(2k + 6) 74 = (30 + -15k) + 7(2k + 6) Reorder the terms: 74 = 30 + -15k + 7(6 + 2k) 74 = 30 + -15k + (6 * 7 + 2k * 7) 74 = 30 + -15k + (42 + 14k) Reorder the terms: 74 = 30 + 42 + -15k + 14k Combine like terms: 30 + 42 = 72 74 = 72 + -15k + 14k Combine like terms: -15k + 14k = -1k 74 = 72 + -1k Solving 74 = 72 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 74 + k = 72 + -1k + k Combine like terms: -1k + k = 0 74 + k = 72 + 0 74 + k = 72 Add '-74' to each side of the equation. 74 + -74 + k = 72 + -74 Combine like terms: 74 + -74 = 0 0 + k = 72 + -74 k = 72 + -74 Combine like terms: 72 + -74 = -2 k = -2 Simplifying k = -2
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