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Simplifying -2k + -2(7k + 8) = -1k + 29 Reorder the terms: -2k + -2(8 + 7k) = -1k + 29 -2k + (8 * -2 + 7k * -2) = -1k + 29 -2k + (-16 + -14k) = -1k + 29 Reorder the terms: -16 + -2k + -14k = -1k + 29 Combine like terms: -2k + -14k = -16k -16 + -16k = -1k + 29 Reorder the terms: -16 + -16k = 29 + -1k Solving -16 + -16k = 29 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -16 + -16k + k = 29 + -1k + k Combine like terms: -16k + k = -15k -16 + -15k = 29 + -1k + k Combine like terms: -1k + k = 0 -16 + -15k = 29 + 0 -16 + -15k = 29 Add '16' to each side of the equation. -16 + 16 + -15k = 29 + 16 Combine like terms: -16 + 16 = 0 0 + -15k = 29 + 16 -15k = 29 + 16 Combine like terms: 29 + 16 = 45 -15k = 45 Divide each side by '-15'. k = -3 Simplifying k = -3
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