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Simplifying -2(5 + 6m) + 9t = -90 (5 * -2 + 6m * -2) + 9t = -90 (-10 + -12m) + 9t = -90 Solving -10 + -12m + 9t = -90 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -12m + 10 + 9t = -90 + 10 Reorder the terms: -10 + 10 + -12m + 9t = -90 + 10 Combine like terms: -10 + 10 = 0 0 + -12m + 9t = -90 + 10 -12m + 9t = -90 + 10 Combine like terms: -90 + 10 = -80 -12m + 9t = -80 Add '-9t' to each side of the equation. -12m + 9t + -9t = -80 + -9t Combine like terms: 9t + -9t = 0 -12m + 0 = -80 + -9t -12m = -80 + -9t Divide each side by '-12'. m = 6.666666667 + 0.75t Simplifying m = 6.666666667 + 0.75t
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