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Simplifying 6(4m + -3) + 7m + 2(3m + -2) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) Reorder the terms: 6(-3 + 4m) + 7m + 2(3m + -2) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) (-3 * 6 + 4m * 6) + 7m + 2(3m + -2) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) (-18 + 24m) + 7m + 2(3m + -2) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) Reorder the terms: -18 + 24m + 7m + 2(-2 + 3m) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) -18 + 24m + 7m + (-2 * 2 + 3m * 2) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) -18 + 24m + 7m + (-4 + 6m) + 1.57 = 3(4m + -3) + 9.71 + 5(-3m + 8) Reorder the terms: -18 + -4 + 1.57 + 24m + 7m + 6m = 3(4m + -3) + 9.71 + 5(-3m + 8) Combine like terms: -18 + -4 = -22 -22 + 1.57 + 24m + 7m + 6m = 3(4m + -3) + 9.71 + 5(-3m + 8) Combine like terms: -22 + 1.57 = -20.43 -20.43 + 24m + 7m + 6m = 3(4m + -3) + 9.71 + 5(-3m + 8) Combine like terms: 24m + 7m = 31m -20.43 + 31m + 6m = 3(4m + -3) + 9.71 + 5(-3m + 8) Combine like terms: 31m + 6m = 37m -20.43 + 37m = 3(4m + -3) + 9.71 + 5(-3m + 8) Reorder the terms: -20.43 + 37m = 3(-3 + 4m) + 9.71 + 5(-3m + 8) -20.43 + 37m = (-3 * 3 + 4m * 3) + 9.71 + 5(-3m + 8) -20.43 + 37m = (-9 + 12m) + 9.71 + 5(-3m + 8) Reorder the terms: -20.43 + 37m = -9 + 12m + 9.71 + 5(8 + -3m) -20.43 + 37m = -9 + 12m + 9.71 + (8 * 5 + -3m * 5) -20.43 + 37m = -9 + 12m + 9.71 + (40 + -15m) Reorder the terms: -20.43 + 37m = -9 + 9.71 + 40 + 12m + -15m Combine like terms: -9 + 9.71 = 0.71 -20.43 + 37m = 0.71 + 40 + 12m + -15m Combine like terms: 0.71 + 40 = 40.71 -20.43 + 37m = 40.71 + 12m + -15m Combine like terms: 12m + -15m = -3m -20.43 + 37m = 40.71 + -3m Solving -20.43 + 37m = 40.71 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -20.43 + 37m + 3m = 40.71 + -3m + 3m Combine like terms: 37m + 3m = 40m -20.43 + 40m = 40.71 + -3m + 3m Combine like terms: -3m + 3m = 0 -20.43 + 40m = 40.71 + 0 -20.43 + 40m = 40.71 Add '20.43' to each side of the equation. -20.43 + 20.43 + 40m = 40.71 + 20.43 Combine like terms: -20.43 + 20.43 = 0.00 0.00 + 40m = 40.71 + 20.43 40m = 40.71 + 20.43 Combine like terms: 40.71 + 20.43 = 61.14 40m = 61.14 Divide each side by '40'. m = 1.5285 Simplifying m = 1.5285
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