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Simplifying 5(k + -4) + -4(k + 1) + -13 = -30 Reorder the terms: 5(-4 + k) + -4(k + 1) + -13 = -30 (-4 * 5 + k * 5) + -4(k + 1) + -13 = -30 (-20 + 5k) + -4(k + 1) + -13 = -30 Reorder the terms: -20 + 5k + -4(1 + k) + -13 = -30 -20 + 5k + (1 * -4 + k * -4) + -13 = -30 -20 + 5k + (-4 + -4k) + -13 = -30 Reorder the terms: -20 + -4 + -13 + 5k + -4k = -30 Combine like terms: -20 + -4 = -24 -24 + -13 + 5k + -4k = -30 Combine like terms: -24 + -13 = -37 -37 + 5k + -4k = -30 Combine like terms: 5k + -4k = 1k -37 + 1k = -30 Solving -37 + 1k = -30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1k = -30 + 37 Combine like terms: -37 + 37 = 0 0 + 1k = -30 + 37 1k = -30 + 37 Combine like terms: -30 + 37 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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