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Simplifying -16 = 8(7 + k) -16 = (7 * 8 + k * 8) -16 = (56 + 8k) Solving -16 = 56 + 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. -16 + -8k = 56 + 8k + -8k Combine like terms: 8k + -8k = 0 -16 + -8k = 56 + 0 -16 + -8k = 56 Add '16' to each side of the equation. -16 + 16 + -8k = 56 + 16 Combine like terms: -16 + 16 = 0 0 + -8k = 56 + 16 -8k = 56 + 16 Combine like terms: 56 + 16 = 72 -8k = 72 Divide each side by '-8'. k = -9 Simplifying k = -9
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