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Simplifying 1.3(2.2m + -5.1) + 2 = 3.2(1.6m + -4) Reorder the terms: 1.3(-5.1 + 2.2m) + 2 = 3.2(1.6m + -4) (-5.1 * 1.3 + 2.2m * 1.3) + 2 = 3.2(1.6m + -4) (-6.63 + 2.86m) + 2 = 3.2(1.6m + -4) Reorder the terms: -6.63 + 2 + 2.86m = 3.2(1.6m + -4) Combine like terms: -6.63 + 2 = -4.63 -4.63 + 2.86m = 3.2(1.6m + -4) Reorder the terms: -4.63 + 2.86m = 3.2(-4 + 1.6m) -4.63 + 2.86m = (-4 * 3.2 + 1.6m * 3.2) -4.63 + 2.86m = (-12.8 + 5.12m) Solving -4.63 + 2.86m = -12.8 + 5.12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.12m' to each side of the equation. -4.63 + 2.86m + -5.12m = -12.8 + 5.12m + -5.12m Combine like terms: 2.86m + -5.12m = -2.26m -4.63 + -2.26m = -12.8 + 5.12m + -5.12m Combine like terms: 5.12m + -5.12m = 0.00 -4.63 + -2.26m = -12.8 + 0.00 -4.63 + -2.26m = -12.8 Add '4.63' to each side of the equation. -4.63 + 4.63 + -2.26m = -12.8 + 4.63 Combine like terms: -4.63 + 4.63 = 0.00 0.00 + -2.26m = -12.8 + 4.63 -2.26m = -12.8 + 4.63 Combine like terms: -12.8 + 4.63 = -8.17 -2.26m = -8.17 Divide each side by '-2.26'. m = 3.615044248 Simplifying m = 3.615044248
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