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Simplifying 0.15(80) + 0.15m = 0.10(80 + m) Multiply 0.15 * 80 12 + 0.15m = 0.10(80 + m) 12 + 0.15m = (80 * 0.10 + m * 0.10) 12 + 0.15m = (8 + 0.10m) Solving 12 + 0.15m = 8 + 0.10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.10m' to each side of the equation. 12 + 0.15m + -0.10m = 8 + 0.10m + -0.10m Combine like terms: 0.15m + -0.10m = 0.05m 12 + 0.05m = 8 + 0.10m + -0.10m Combine like terms: 0.10m + -0.10m = 0.00 12 + 0.05m = 8 + 0.00 12 + 0.05m = 8 Add '-12' to each side of the equation. 12 + -12 + 0.05m = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.05m = 8 + -12 0.05m = 8 + -12 Combine like terms: 8 + -12 = -4 0.05m = -4 Divide each side by '0.05'. m = -80 Simplifying m = -80
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