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Simplifying -90 = 5k + -5(2 + 3k) -90 = 5k + (2 * -5 + 3k * -5) -90 = 5k + (-10 + -15k) Reorder the terms: -90 = -10 + 5k + -15k Combine like terms: 5k + -15k = -10k -90 = -10 + -10k Solving -90 = -10 + -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. -90 + 10k = -10 + -10k + 10k Combine like terms: -10k + 10k = 0 -90 + 10k = -10 + 0 -90 + 10k = -10 Add '90' to each side of the equation. -90 + 90 + 10k = -10 + 90 Combine like terms: -90 + 90 = 0 0 + 10k = -10 + 90 10k = -10 + 90 Combine like terms: -10 + 90 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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