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Simplifying 4 + (-2) + -12 + -2k + -1(-1) = 0 4 + -2 + -12 + -2k + -1(-1) = 0 Multiply -1 * -1 4 + -2 + -12 + -2k + 1 = 0 Reorder the terms: 4 + -2 + -12 + 1 + -2k = 0 Combine like terms: 4 + -2 = 2 2 + -12 + 1 + -2k = 0 Combine like terms: 2 + -12 = -10 -10 + 1 + -2k = 0 Combine like terms: -10 + 1 = -9 -9 + -2k = 0 Solving -9 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = 0 + 9 -2k = 0 + 9 Combine like terms: 0 + 9 = 9 -2k = 9 Divide each side by '-2'. k = -4.5 Simplifying k = -4.5
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