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Simplifying 4(2k + 7) = -2(k + -29) Reorder the terms: 4(7 + 2k) = -2(k + -29) (7 * 4 + 2k * 4) = -2(k + -29) (28 + 8k) = -2(k + -29) Reorder the terms: 28 + 8k = -2(-29 + k) 28 + 8k = (-29 * -2 + k * -2) 28 + 8k = (58 + -2k) Solving 28 + 8k = 58 + -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. 28 + 8k + 2k = 58 + -2k + 2k Combine like terms: 8k + 2k = 10k 28 + 10k = 58 + -2k + 2k Combine like terms: -2k + 2k = 0 28 + 10k = 58 + 0 28 + 10k = 58 Add '-28' to each side of the equation. 28 + -28 + 10k = 58 + -28 Combine like terms: 28 + -28 = 0 0 + 10k = 58 + -28 10k = 58 + -28 Combine like terms: 58 + -28 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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