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Simplifying 151 = 6(-3 + -4k) + 1 151 = (-3 * 6 + -4k * 6) + 1 151 = (-18 + -24k) + 1 Reorder the terms: 151 = -18 + 1 + -24k Combine like terms: -18 + 1 = -17 151 = -17 + -24k Solving 151 = -17 + -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. 151 + 24k = -17 + -24k + 24k Combine like terms: -24k + 24k = 0 151 + 24k = -17 + 0 151 + 24k = -17 Add '-151' to each side of the equation. 151 + -151 + 24k = -17 + -151 Combine like terms: 151 + -151 = 0 0 + 24k = -17 + -151 24k = -17 + -151 Combine like terms: -17 + -151 = -168 24k = -168 Divide each side by '24'. k = -7 Simplifying k = -7
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