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Simplifying -2(2k + -7) + -4(k + 4) = 0 Reorder the terms: -2(-7 + 2k) + -4(k + 4) = 0 (-7 * -2 + 2k * -2) + -4(k + 4) = 0 (14 + -4k) + -4(k + 4) = 0 Reorder the terms: 14 + -4k + -4(4 + k) = 0 14 + -4k + (4 * -4 + k * -4) = 0 14 + -4k + (-16 + -4k) = 0 Reorder the terms: 14 + -16 + -4k + -4k = 0 Combine like terms: 14 + -16 = -2 -2 + -4k + -4k = 0 Combine like terms: -4k + -4k = -8k -2 + -8k = 0 Solving -2 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -8k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8k = 0 + 2 -8k = 0 + 2 Combine like terms: 0 + 2 = 2 -8k = 2 Divide each side by '-8'. k = -0.25 Simplifying k = -0.25
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