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Simplifying 4(k + 5) + -3 = 2k + -3 Reorder the terms: 4(5 + k) + -3 = 2k + -3 (5 * 4 + k * 4) + -3 = 2k + -3 (20 + 4k) + -3 = 2k + -3 Reorder the terms: 20 + -3 + 4k = 2k + -3 Combine like terms: 20 + -3 = 17 17 + 4k = 2k + -3 Reorder the terms: 17 + 4k = -3 + 2k Solving 17 + 4k = -3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 17 + 4k + -2k = -3 + 2k + -2k Combine like terms: 4k + -2k = 2k 17 + 2k = -3 + 2k + -2k Combine like terms: 2k + -2k = 0 17 + 2k = -3 + 0 17 + 2k = -3 Add '-17' to each side of the equation. 17 + -17 + 2k = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 2k = -3 + -17 2k = -3 + -17 Combine like terms: -3 + -17 = -20 2k = -20 Divide each side by '2'. k = -10 Simplifying k = -10
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