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Simplifying 4(x + -5) + -3(k + 2) + -13 = -30 Reorder the terms: 4(-5 + x) + -3(k + 2) + -13 = -30 (-5 * 4 + x * 4) + -3(k + 2) + -13 = -30 (-20 + 4x) + -3(k + 2) + -13 = -30 Reorder the terms: -20 + 4x + -3(2 + k) + -13 = -30 -20 + 4x + (2 * -3 + k * -3) + -13 = -30 -20 + 4x + (-6 + -3k) + -13 = -30 Reorder the terms: -20 + -6 + -13 + -3k + 4x = -30 Combine like terms: -20 + -6 = -26 -26 + -13 + -3k + 4x = -30 Combine like terms: -26 + -13 = -39 -39 + -3k + 4x = -30 Solving -39 + -3k + 4x = -30 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 + -3k + 39 + 4x = -30 + 39 Reorder the terms: -39 + 39 + -3k + 4x = -30 + 39 Combine like terms: -39 + 39 = 0 0 + -3k + 4x = -30 + 39 -3k + 4x = -30 + 39 Combine like terms: -30 + 39 = 9 -3k + 4x = 9 Add '-4x' to each side of the equation. -3k + 4x + -4x = 9 + -4x Combine like terms: 4x + -4x = 0 -3k + 0 = 9 + -4x -3k = 9 + -4x Divide each side by '-3'. k = -3 + 1.333333333x Simplifying k = -3 + 1.333333333x
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