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Simplifying 5(k + -3) + -3(2k + 4) = 20 Reorder the terms: 5(-3 + k) + -3(2k + 4) = 20 (-3 * 5 + k * 5) + -3(2k + 4) = 20 (-15 + 5k) + -3(2k + 4) = 20 Reorder the terms: -15 + 5k + -3(4 + 2k) = 20 -15 + 5k + (4 * -3 + 2k * -3) = 20 -15 + 5k + (-12 + -6k) = 20 Reorder the terms: -15 + -12 + 5k + -6k = 20 Combine like terms: -15 + -12 = -27 -27 + 5k + -6k = 20 Combine like terms: 5k + -6k = -1k -27 + -1k = 20 Solving -27 + -1k = 20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1k = 20 + 27 Combine like terms: -27 + 27 = 0 0 + -1k = 20 + 27 -1k = 20 + 27 Combine like terms: 20 + 27 = 47 -1k = 47 Divide each side by '-1'. k = -47 Simplifying k = -47
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