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Simplifying 0.05(6 + -1m) + -2.4(2) = -0.35m (6 * 0.05 + -1m * 0.05) + -2.4(2) = -0.35m (0.3 + -0.05m) + -2.4(2) = -0.35m Multiply -2.4 * 2 0.3 + -0.05m + -4.8 = -0.35m Reorder the terms: 0.3 + -4.8 + -0.05m = -0.35m Combine like terms: 0.3 + -4.8 = -4.5 -4.5 + -0.05m = -0.35m Solving -4.5 + -0.05m = -0.35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.35m' to each side of the equation. -4.5 + -0.05m + 0.35m = -0.35m + 0.35m Combine like terms: -0.05m + 0.35m = 0.3m -4.5 + 0.3m = -0.35m + 0.35m Combine like terms: -0.35m + 0.35m = 0.00 -4.5 + 0.3m = 0.00 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.3m = 0.00 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.3m = 0.00 + 4.5 0.3m = 0.00 + 4.5 Combine like terms: 0.00 + 4.5 = 4.5 0.3m = 4.5 Divide each side by '0.3'. m = 15 Simplifying m = 15
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