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Simplifying -4(4 + 6k) + -5(k + 2) = -26 (4 * -4 + 6k * -4) + -5(k + 2) = -26 (-16 + -24k) + -5(k + 2) = -26 Reorder the terms: -16 + -24k + -5(2 + k) = -26 -16 + -24k + (2 * -5 + k * -5) = -26 -16 + -24k + (-10 + -5k) = -26 Reorder the terms: -16 + -10 + -24k + -5k = -26 Combine like terms: -16 + -10 = -26 -26 + -24k + -5k = -26 Combine like terms: -24k + -5k = -29k -26 + -29k = -26 Add '26' to each side of the equation. -26 + 26 + -29k = -26 + 26 Combine like terms: -26 + 26 = 0 0 + -29k = -26 + 26 -29k = -26 + 26 Combine like terms: -26 + 26 = 0 -29k = 0 Solving -29k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-29'. k = 0 Simplifying k = 0
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