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Simplifying 6(k + -7) = 5(k + 3) Reorder the terms: 6(-7 + k) = 5(k + 3) (-7 * 6 + k * 6) = 5(k + 3) (-42 + 6k) = 5(k + 3) Reorder the terms: -42 + 6k = 5(3 + k) -42 + 6k = (3 * 5 + k * 5) -42 + 6k = (15 + 5k) Solving -42 + 6k = 15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -42 + 6k + -5k = 15 + 5k + -5k Combine like terms: 6k + -5k = 1k -42 + 1k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 -42 + 1k = 15 + 0 -42 + 1k = 15 Add '42' to each side of the equation. -42 + 42 + 1k = 15 + 42 Combine like terms: -42 + 42 = 0 0 + 1k = 15 + 42 1k = 15 + 42 Combine like terms: 15 + 42 = 57 1k = 57 Divide each side by '1'. k = 57 Simplifying k = 57
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