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Simplifying -29 + 4k = 5(3k + 3) Reorder the terms: -29 + 4k = 5(3 + 3k) -29 + 4k = (3 * 5 + 3k * 5) -29 + 4k = (15 + 15k) Solving -29 + 4k = 15 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -29 + 4k + -15k = 15 + 15k + -15k Combine like terms: 4k + -15k = -11k -29 + -11k = 15 + 15k + -15k Combine like terms: 15k + -15k = 0 -29 + -11k = 15 + 0 -29 + -11k = 15 Add '29' to each side of the equation. -29 + 29 + -11k = 15 + 29 Combine like terms: -29 + 29 = 0 0 + -11k = 15 + 29 -11k = 15 + 29 Combine like terms: 15 + 29 = 44 -11k = 44 Divide each side by '-11'. k = -4 Simplifying k = -4
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