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Simplifying 4 + (-2k) + -12 + -2k + -1(-1) = 0 Multiply -1 * -1 4 + (-2k) + -12 + -2k + 1 = 0 Reorder the terms: 4 + -12 + 1 + (-2k) + -2k = 0 Combine like terms: 4 + -12 = -8 -8 + 1 + (-2k) + -2k = 0 Combine like terms: -8 + 1 = -7 -7 + (-2k) + -2k = 0 Combine like terms: (-2k) + -2k = -4k -7 + -4k = 0 Solving -7 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4k = 0 + 7 -4k = 0 + 7 Combine like terms: 0 + 7 = 7 -4k = 7 Divide each side by '-4'. k = -1.75 Simplifying k = -1.75
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