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Simplifying 7 + -0.3(m + -15) = 0.8(11m + -15) Reorder the terms: 7 + -0.3(-15 + m) = 0.8(11m + -15) 7 + (-15 * -0.3 + m * -0.3) = 0.8(11m + -15) 7 + (4.5 + -0.3m) = 0.8(11m + -15) Combine like terms: 7 + 4.5 = 11.5 11.5 + -0.3m = 0.8(11m + -15) Reorder the terms: 11.5 + -0.3m = 0.8(-15 + 11m) 11.5 + -0.3m = (-15 * 0.8 + 11m * 0.8) 11.5 + -0.3m = (-12 + 8.8m) Solving 11.5 + -0.3m = -12 + 8.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8.8m' to each side of the equation. 11.5 + -0.3m + -8.8m = -12 + 8.8m + -8.8m Combine like terms: -0.3m + -8.8m = -9.1m 11.5 + -9.1m = -12 + 8.8m + -8.8m Combine like terms: 8.8m + -8.8m = 0.0 11.5 + -9.1m = -12 + 0.0 11.5 + -9.1m = -12 Add '-11.5' to each side of the equation. 11.5 + -11.5 + -9.1m = -12 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -9.1m = -12 + -11.5 -9.1m = -12 + -11.5 Combine like terms: -12 + -11.5 = -23.5 -9.1m = -23.5 Divide each side by '-9.1'. m = 2.582417582 Simplifying m = 2.582417582
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