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Simplifying 75 = 3(-10m + -3) + 6t Reorder the terms: 75 = 3(-3 + -10m) + 6t 75 = (-3 * 3 + -10m * 3) + 6t 75 = (-9 + -30m) + 6t Solving 75 = -9 + -30m + 6t Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 75 + 30m = -9 + -30m + 30m + 6t Combine like terms: -30m + 30m = 0 75 + 30m = -9 + 0 + 6t 75 + 30m = -9 + 6t Add '-75' to each side of the equation. 75 + -75 + 30m = -9 + -75 + 6t Combine like terms: 75 + -75 = 0 0 + 30m = -9 + -75 + 6t 30m = -9 + -75 + 6t Combine like terms: -9 + -75 = -84 30m = -84 + 6t Divide each side by '30'. m = -2.8 + 0.2t Simplifying m = -2.8 + 0.2t
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