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Simplifying 90 = 3(4k + -2) Reorder the terms: 90 = 3(-2 + 4k) 90 = (-2 * 3 + 4k * 3) 90 = (-6 + 12k) Solving 90 = -6 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 90 + -12k = -6 + 12k + -12k Combine like terms: 12k + -12k = 0 90 + -12k = -6 + 0 90 + -12k = -6 Add '-90' to each side of the equation. 90 + -90 + -12k = -6 + -90 Combine like terms: 90 + -90 = 0 0 + -12k = -6 + -90 -12k = -6 + -90 Combine like terms: -6 + -90 = -96 -12k = -96 Divide each side by '-12'. k = 8 Simplifying k = 8
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