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Simplifying 4(k + -5) = 2(k + -4) Reorder the terms: 4(-5 + k) = 2(k + -4) (-5 * 4 + k * 4) = 2(k + -4) (-20 + 4k) = 2(k + -4) Reorder the terms: -20 + 4k = 2(-4 + k) -20 + 4k = (-4 * 2 + k * 2) -20 + 4k = (-8 + 2k) Solving -20 + 4k = -8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -20 + 4k + -2k = -8 + 2k + -2k Combine like terms: 4k + -2k = 2k -20 + 2k = -8 + 2k + -2k Combine like terms: 2k + -2k = 0 -20 + 2k = -8 + 0 -20 + 2k = -8 Add '20' to each side of the equation. -20 + 20 + 2k = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = -8 + 20 2k = -8 + 20 Combine like terms: -8 + 20 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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