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Simplifying -4 = -3(3k + -5) + 5(1 + -3k) Reorder the terms: -4 = -3(-5 + 3k) + 5(1 + -3k) -4 = (-5 * -3 + 3k * -3) + 5(1 + -3k) -4 = (15 + -9k) + 5(1 + -3k) -4 = 15 + -9k + (1 * 5 + -3k * 5) -4 = 15 + -9k + (5 + -15k) Reorder the terms: -4 = 15 + 5 + -9k + -15k Combine like terms: 15 + 5 = 20 -4 = 20 + -9k + -15k Combine like terms: -9k + -15k = -24k -4 = 20 + -24k Solving -4 = 20 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -4 + 24k = 20 + -24k + 24k Combine like terms: -24k + 24k = 0 -4 + 24k = 20 + 0 -4 + 24k = 20 Add '4' to each side of the equation. -4 + 4 + 24k = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 24k = 20 + 4 24k = 20 + 4 Combine like terms: 20 + 4 = 24 24k = 24 Divide each side by '24'. k = 1 Simplifying k = 1
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