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Simplifying 5(k + 3) = 2(4k + 7) + -7 Reorder the terms: 5(3 + k) = 2(4k + 7) + -7 (3 * 5 + k * 5) = 2(4k + 7) + -7 (15 + 5k) = 2(4k + 7) + -7 Reorder the terms: 15 + 5k = 2(7 + 4k) + -7 15 + 5k = (7 * 2 + 4k * 2) + -7 15 + 5k = (14 + 8k) + -7 Reorder the terms: 15 + 5k = 14 + -7 + 8k Combine like terms: 14 + -7 = 7 15 + 5k = 7 + 8k Solving 15 + 5k = 7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 15 + 5k + -8k = 7 + 8k + -8k Combine like terms: 5k + -8k = -3k 15 + -3k = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + -3k = 7 + 0 15 + -3k = 7 Add '-15' to each side of the equation. 15 + -15 + -3k = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = 7 + -15 -3k = 7 + -15 Combine like terms: 7 + -15 = -8 -3k = -8 Divide each side by '-3'. k = 2.666666667 Simplifying k = 2.666666667
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