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Simplifying 29 + 8k = -5(-6 + -2k) + 3 29 + 8k = (-6 * -5 + -2k * -5) + 3 29 + 8k = (30 + 10k) + 3 Reorder the terms: 29 + 8k = 30 + 3 + 10k Combine like terms: 30 + 3 = 33 29 + 8k = 33 + 10k Solving 29 + 8k = 33 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 29 + 8k + -10k = 33 + 10k + -10k Combine like terms: 8k + -10k = -2k 29 + -2k = 33 + 10k + -10k Combine like terms: 10k + -10k = 0 29 + -2k = 33 + 0 29 + -2k = 33 Add '-29' to each side of the equation. 29 + -29 + -2k = 33 + -29 Combine like terms: 29 + -29 = 0 0 + -2k = 33 + -29 -2k = 33 + -29 Combine like terms: 33 + -29 = 4 -2k = 4 Divide each side by '-2'. k = -2 Simplifying k = -2
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