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Simplifying 5(1 + 5k) + -3 = -29 + -6k (1 * 5 + 5k * 5) + -3 = -29 + -6k (5 + 25k) + -3 = -29 + -6k Reorder the terms: 5 + -3 + 25k = -29 + -6k Combine like terms: 5 + -3 = 2 2 + 25k = -29 + -6k Solving 2 + 25k = -29 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 2 + 25k + 6k = -29 + -6k + 6k Combine like terms: 25k + 6k = 31k 2 + 31k = -29 + -6k + 6k Combine like terms: -6k + 6k = 0 2 + 31k = -29 + 0 2 + 31k = -29 Add '-2' to each side of the equation. 2 + -2 + 31k = -29 + -2 Combine like terms: 2 + -2 = 0 0 + 31k = -29 + -2 31k = -29 + -2 Combine like terms: -29 + -2 = -31 31k = -31 Divide each side by '31'. k = -1 Simplifying k = -1
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