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Simplifying 8(k + 6) = -2(k + 1) Reorder the terms: 8(6 + k) = -2(k + 1) (6 * 8 + k * 8) = -2(k + 1) (48 + 8k) = -2(k + 1) Reorder the terms: 48 + 8k = -2(1 + k) 48 + 8k = (1 * -2 + k * -2) 48 + 8k = (-2 + -2k) Solving 48 + 8k = -2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 48 + 8k + 2k = -2 + -2k + 2k Combine like terms: 8k + 2k = 10k 48 + 10k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 48 + 10k = -2 + 0 48 + 10k = -2 Add '-48' to each side of the equation. 48 + -48 + 10k = -2 + -48 Combine like terms: 48 + -48 = 0 0 + 10k = -2 + -48 10k = -2 + -48 Combine like terms: -2 + -48 = -50 10k = -50 Divide each side by '10'. k = -5 Simplifying k = -5
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