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Simplifying 5(k + -4) + 3 = 3(k + 7) Reorder the terms: 5(-4 + k) + 3 = 3(k + 7) (-4 * 5 + k * 5) + 3 = 3(k + 7) (-20 + 5k) + 3 = 3(k + 7) Reorder the terms: -20 + 3 + 5k = 3(k + 7) Combine like terms: -20 + 3 = -17 -17 + 5k = 3(k + 7) Reorder the terms: -17 + 5k = 3(7 + k) -17 + 5k = (7 * 3 + k * 3) -17 + 5k = (21 + 3k) Solving -17 + 5k = 21 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -17 + 5k + -3k = 21 + 3k + -3k Combine like terms: 5k + -3k = 2k -17 + 2k = 21 + 3k + -3k Combine like terms: 3k + -3k = 0 -17 + 2k = 21 + 0 -17 + 2k = 21 Add '17' to each side of the equation. -17 + 17 + 2k = 21 + 17 Combine like terms: -17 + 17 = 0 0 + 2k = 21 + 17 2k = 21 + 17 Combine like terms: 21 + 17 = 38 2k = 38 Divide each side by '2'. k = 19 Simplifying k = 19
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