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