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Simplifying 3(2k + -5) + -1 = 4(-3k + 7) Reorder the terms: 3(-5 + 2k) + -1 = 4(-3k + 7) (-5 * 3 + 2k * 3) + -1 = 4(-3k + 7) (-15 + 6k) + -1 = 4(-3k + 7) Reorder the terms: -15 + -1 + 6k = 4(-3k + 7) Combine like terms: -15 + -1 = -16 -16 + 6k = 4(-3k + 7) Reorder the terms: -16 + 6k = 4(7 + -3k) -16 + 6k = (7 * 4 + -3k * 4) -16 + 6k = (28 + -12k) Solving -16 + 6k = 28 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -16 + 6k + 12k = 28 + -12k + 12k Combine like terms: 6k + 12k = 18k -16 + 18k = 28 + -12k + 12k Combine like terms: -12k + 12k = 0 -16 + 18k = 28 + 0 -16 + 18k = 28 Add '16' to each side of the equation. -16 + 16 + 18k = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 18k = 28 + 16 18k = 28 + 16 Combine like terms: 28 + 16 = 44 18k = 44 Divide each side by '18'. k = 2.444444444 Simplifying k = 2.444444444
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