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Simplifying -65 = -5(3 + -2k) -65 = (3 * -5 + -2k * -5) -65 = (-15 + 10k) Solving -65 = -15 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -65 + -10k = -15 + 10k + -10k Combine like terms: 10k + -10k = 0 -65 + -10k = -15 + 0 -65 + -10k = -15 Add '65' to each side of the equation. -65 + 65 + -10k = -15 + 65 Combine like terms: -65 + 65 = 0 0 + -10k = -15 + 65 -10k = -15 + 65 Combine like terms: -15 + 65 = 50 -10k = 50 Divide each side by '-10'. k = -5 Simplifying k = -5
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