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Simplifying 6(-5k + 6) + -7k = -3(1 + 8k) Reorder the terms: 6(6 + -5k) + -7k = -3(1 + 8k) (6 * 6 + -5k * 6) + -7k = -3(1 + 8k) (36 + -30k) + -7k = -3(1 + 8k) Combine like terms: -30k + -7k = -37k 36 + -37k = -3(1 + 8k) 36 + -37k = (1 * -3 + 8k * -3) 36 + -37k = (-3 + -24k) Solving 36 + -37k = -3 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 36 + -37k + 24k = -3 + -24k + 24k Combine like terms: -37k + 24k = -13k 36 + -13k = -3 + -24k + 24k Combine like terms: -24k + 24k = 0 36 + -13k = -3 + 0 36 + -13k = -3 Add '-36' to each side of the equation. 36 + -36 + -13k = -3 + -36 Combine like terms: 36 + -36 = 0 0 + -13k = -3 + -36 -13k = -3 + -36 Combine like terms: -3 + -36 = -39 -13k = -39 Divide each side by '-13'. k = 3 Simplifying k = 3
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