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Simplifying -15 + -1k = 8(k + 6) Reorder the terms: -15 + -1k = 8(6 + k) -15 + -1k = (6 * 8 + k * 8) -15 + -1k = (48 + 8k) Solving -15 + -1k = 48 + 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. -15 + -1k + -8k = 48 + 8k + -8k Combine like terms: -1k + -8k = -9k -15 + -9k = 48 + 8k + -8k Combine like terms: 8k + -8k = 0 -15 + -9k = 48 + 0 -15 + -9k = 48 Add '15' to each side of the equation. -15 + 15 + -9k = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -9k = 48 + 15 -9k = 48 + 15 Combine like terms: 48 + 15 = 63 -9k = 63 Divide each side by '-9'. k = -7 Simplifying k = -7
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