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Simplifying -3k + -2(5k + -6) = 90 Reorder the terms: -3k + -2(-6 + 5k) = 90 -3k + (-6 * -2 + 5k * -2) = 90 -3k + (12 + -10k) = 90 Reorder the terms: 12 + -3k + -10k = 90 Combine like terms: -3k + -10k = -13k 12 + -13k = 90 Solving 12 + -13k = 90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -13k = 90 + -12 Combine like terms: 12 + -12 = 0 0 + -13k = 90 + -12 -13k = 90 + -12 Combine like terms: 90 + -12 = 78 -13k = 78 Divide each side by '-13'. k = -6 Simplifying k = -6
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