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Simplifying 4(k + -5) + -3(k + 2) + -13 = -32 Reorder the terms: 4(-5 + k) + -3(k + 2) + -13 = -32 (-5 * 4 + k * 4) + -3(k + 2) + -13 = -32 (-20 + 4k) + -3(k + 2) + -13 = -32 Reorder the terms: -20 + 4k + -3(2 + k) + -13 = -32 -20 + 4k + (2 * -3 + k * -3) + -13 = -32 -20 + 4k + (-6 + -3k) + -13 = -32 Reorder the terms: -20 + -6 + -13 + 4k + -3k = -32 Combine like terms: -20 + -6 = -26 -26 + -13 + 4k + -3k = -32 Combine like terms: -26 + -13 = -39 -39 + 4k + -3k = -32 Combine like terms: 4k + -3k = 1k -39 + 1k = -32 Solving -39 + 1k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1k = -32 + 39 Combine like terms: -39 + 39 = 0 0 + 1k = -32 + 39 1k = -32 + 39 Combine like terms: -32 + 39 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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