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Simplifying 2k + 16 = -7(8k + 6) Reorder the terms: 16 + 2k = -7(8k + 6) Reorder the terms: 16 + 2k = -7(6 + 8k) 16 + 2k = (6 * -7 + 8k * -7) 16 + 2k = (-42 + -56k) Solving 16 + 2k = -42 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. 16 + 2k + 56k = -42 + -56k + 56k Combine like terms: 2k + 56k = 58k 16 + 58k = -42 + -56k + 56k Combine like terms: -56k + 56k = 0 16 + 58k = -42 + 0 16 + 58k = -42 Add '-16' to each side of the equation. 16 + -16 + 58k = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 58k = -42 + -16 58k = -42 + -16 Combine like terms: -42 + -16 = -58 58k = -58 Divide each side by '58'. k = -1 Simplifying k = -1
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