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Simplifying 16 + k = -5(3 + 6k) 16 + k = (3 * -5 + 6k * -5) 16 + k = (-15 + -30k) Solving 16 + k = -15 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 16 + k + 30k = -15 + -30k + 30k Combine like terms: k + 30k = 31k 16 + 31k = -15 + -30k + 30k Combine like terms: -30k + 30k = 0 16 + 31k = -15 + 0 16 + 31k = -15 Add '-16' to each side of the equation. 16 + -16 + 31k = -15 + -16 Combine like terms: 16 + -16 = 0 0 + 31k = -15 + -16 31k = -15 + -16 Combine like terms: -15 + -16 = -31 31k = -31 Divide each side by '31'. k = -1 Simplifying k = -1
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