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Simplifying -5k + 31 = 8(-2k + -3) Reorder the terms: 31 + -5k = 8(-2k + -3) Reorder the terms: 31 + -5k = 8(-3 + -2k) 31 + -5k = (-3 * 8 + -2k * 8) 31 + -5k = (-24 + -16k) Solving 31 + -5k = -24 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 31 + -5k + 16k = -24 + -16k + 16k Combine like terms: -5k + 16k = 11k 31 + 11k = -24 + -16k + 16k Combine like terms: -16k + 16k = 0 31 + 11k = -24 + 0 31 + 11k = -24 Add '-31' to each side of the equation. 31 + -31 + 11k = -24 + -31 Combine like terms: 31 + -31 = 0 0 + 11k = -24 + -31 11k = -24 + -31 Combine like terms: -24 + -31 = -55 11k = -55 Divide each side by '11'. k = -5 Simplifying k = -5
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