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Simplifying 5(k + 3) = (4k + 7) + -5 Reorder the terms: 5(3 + k) = (4k + 7) + -5 (3 * 5 + k * 5) = (4k + 7) + -5 (15 + 5k) = (4k + 7) + -5 Reorder the terms: 15 + 5k = (7 + 4k) + -5 Remove parenthesis around (7 + 4k) 15 + 5k = 7 + 4k + -5 Reorder the terms: 15 + 5k = 7 + -5 + 4k Combine like terms: 7 + -5 = 2 15 + 5k = 2 + 4k Solving 15 + 5k = 2 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 15 + 5k + -4k = 2 + 4k + -4k Combine like terms: 5k + -4k = 1k 15 + 1k = 2 + 4k + -4k Combine like terms: 4k + -4k = 0 15 + 1k = 2 + 0 15 + 1k = 2 Add '-15' to each side of the equation. 15 + -15 + 1k = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 1k = 2 + -15 1k = 2 + -15 Combine like terms: 2 + -15 = -13 1k = -13 Divide each side by '1'. k = -13 Simplifying k = -13
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