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Simplifying 70 = 2(k + -1) + -5(5k + 4) Reorder the terms: 70 = 2(-1 + k) + -5(5k + 4) 70 = (-1 * 2 + k * 2) + -5(5k + 4) 70 = (-2 + 2k) + -5(5k + 4) Reorder the terms: 70 = -2 + 2k + -5(4 + 5k) 70 = -2 + 2k + (4 * -5 + 5k * -5) 70 = -2 + 2k + (-20 + -25k) Reorder the terms: 70 = -2 + -20 + 2k + -25k Combine like terms: -2 + -20 = -22 70 = -22 + 2k + -25k Combine like terms: 2k + -25k = -23k 70 = -22 + -23k Solving 70 = -22 + -23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23k' to each side of the equation. 70 + 23k = -22 + -23k + 23k Combine like terms: -23k + 23k = 0 70 + 23k = -22 + 0 70 + 23k = -22 Add '-70' to each side of the equation. 70 + -70 + 23k = -22 + -70 Combine like terms: 70 + -70 = 0 0 + 23k = -22 + -70 23k = -22 + -70 Combine like terms: -22 + -70 = -92 23k = -92 Divide each side by '23'. k = -4 Simplifying k = -4
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