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Simplifying 5 + -9k + 1 + k + -2(7 + k) = 0 5 + -9k + 1 + k + (7 * -2 + k * -2) = 0 5 + -9k + 1 + k + (-14 + -2k) = 0 Reorder the terms: 5 + 1 + -14 + -9k + k + -2k = 0 Combine like terms: 5 + 1 = 6 6 + -14 + -9k + k + -2k = 0 Combine like terms: 6 + -14 = -8 -8 + -9k + k + -2k = 0 Combine like terms: -9k + k = -8k -8 + -8k + -2k = 0 Combine like terms: -8k + -2k = -10k -8 + -10k = 0 Solving -8 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -10k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -10k = 0 + 8 -10k = 0 + 8 Combine like terms: 0 + 8 = 8 -10k = 8 Divide each side by '-10'. k = -0.8 Simplifying k = -0.8
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