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Simplifying -3k + -31 = 8(-8 + 2k) + -8k Reorder the terms: -31 + -3k = 8(-8 + 2k) + -8k -31 + -3k = (-8 * 8 + 2k * 8) + -8k -31 + -3k = (-64 + 16k) + -8k Combine like terms: 16k + -8k = 8k -31 + -3k = -64 + 8k Solving -31 + -3k = -64 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -31 + -3k + -8k = -64 + 8k + -8k Combine like terms: -3k + -8k = -11k -31 + -11k = -64 + 8k + -8k Combine like terms: 8k + -8k = 0 -31 + -11k = -64 + 0 -31 + -11k = -64 Add '31' to each side of the equation. -31 + 31 + -11k = -64 + 31 Combine like terms: -31 + 31 = 0 0 + -11k = -64 + 31 -11k = -64 + 31 Combine like terms: -64 + 31 = -33 -11k = -33 Divide each side by '-11'. k = 3 Simplifying k = 3
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