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Simplifying -4m + -9.7 = 5 + 8.1(m + 8) Reorder the terms: -9.7 + -4m = 5 + 8.1(m + 8) Reorder the terms: -9.7 + -4m = 5 + 8.1(8 + m) -9.7 + -4m = 5 + (8 * 8.1 + m * 8.1) -9.7 + -4m = 5 + (64.8 + 8.1m) Combine like terms: 5 + 64.8 = 69.8 -9.7 + -4m = 69.8 + 8.1m Solving -9.7 + -4m = 69.8 + 8.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8.1m' to each side of the equation. -9.7 + -4m + -8.1m = 69.8 + 8.1m + -8.1m Combine like terms: -4m + -8.1m = -12.1m -9.7 + -12.1m = 69.8 + 8.1m + -8.1m Combine like terms: 8.1m + -8.1m = 0.0 -9.7 + -12.1m = 69.8 + 0.0 -9.7 + -12.1m = 69.8 Add '9.7' to each side of the equation. -9.7 + 9.7 + -12.1m = 69.8 + 9.7 Combine like terms: -9.7 + 9.7 = 0.0 0.0 + -12.1m = 69.8 + 9.7 -12.1m = 69.8 + 9.7 Combine like terms: 69.8 + 9.7 = 79.5 -12.1m = 79.5 Divide each side by '-12.1'. m = -6.570247934 Simplifying m = -6.570247934
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