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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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