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Simplifying 5(k + -4) + -4(k + 2) + -13 = -32 Reorder the terms: 5(-4 + k) + -4(k + 2) + -13 = -32 (-4 * 5 + k * 5) + -4(k + 2) + -13 = -32 (-20 + 5k) + -4(k + 2) + -13 = -32 Reorder the terms: -20 + 5k + -4(2 + k) + -13 = -32 -20 + 5k + (2 * -4 + k * -4) + -13 = -32 -20 + 5k + (-8 + -4k) + -13 = -32 Reorder the terms: -20 + -8 + -13 + 5k + -4k = -32 Combine like terms: -20 + -8 = -28 -28 + -13 + 5k + -4k = -32 Combine like terms: -28 + -13 = -41 -41 + 5k + -4k = -32 Combine like terms: 5k + -4k = 1k -41 + 1k = -32 Solving -41 + 1k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1k = -32 + 41 Combine like terms: -41 + 41 = 0 0 + 1k = -32 + 41 1k = -32 + 41 Combine like terms: -32 + 41 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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