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Simplifying 4.2(3m + -2.7) + -6.3 = 3.8 + -1.5(6.2m + -5) Reorder the terms: 4.2(-2.7 + 3m) + -6.3 = 3.8 + -1.5(6.2m + -5) (-2.7 * 4.2 + 3m * 4.2) + -6.3 = 3.8 + -1.5(6.2m + -5) (-11.34 + 12.6m) + -6.3 = 3.8 + -1.5(6.2m + -5) Reorder the terms: -11.34 + -6.3 + 12.6m = 3.8 + -1.5(6.2m + -5) Combine like terms: -11.34 + -6.3 = -17.64 -17.64 + 12.6m = 3.8 + -1.5(6.2m + -5) Reorder the terms: -17.64 + 12.6m = 3.8 + -1.5(-5 + 6.2m) -17.64 + 12.6m = 3.8 + (-5 * -1.5 + 6.2m * -1.5) -17.64 + 12.6m = 3.8 + (7.5 + -9.3m) Combine like terms: 3.8 + 7.5 = 11.3 -17.64 + 12.6m = 11.3 + -9.3m Solving -17.64 + 12.6m = 11.3 + -9.3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9.3m' to each side of the equation. -17.64 + 12.6m + 9.3m = 11.3 + -9.3m + 9.3m Combine like terms: 12.6m + 9.3m = 21.9m -17.64 + 21.9m = 11.3 + -9.3m + 9.3m Combine like terms: -9.3m + 9.3m = 0.0 -17.64 + 21.9m = 11.3 + 0.0 -17.64 + 21.9m = 11.3 Add '17.64' to each side of the equation. -17.64 + 17.64 + 21.9m = 11.3 + 17.64 Combine like terms: -17.64 + 17.64 = 0.00 0.00 + 21.9m = 11.3 + 17.64 21.9m = 11.3 + 17.64 Combine like terms: 11.3 + 17.64 = 28.94 21.9m = 28.94 Divide each side by '21.9'. m = 1.321461187 Simplifying m = 1.321461187
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