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Simplifying 5(3m + -7) + -2 = 4(5m + -12) + 1 Reorder the terms: 5(-7 + 3m) + -2 = 4(5m + -12) + 1 (-7 * 5 + 3m * 5) + -2 = 4(5m + -12) + 1 (-35 + 15m) + -2 = 4(5m + -12) + 1 Reorder the terms: -35 + -2 + 15m = 4(5m + -12) + 1 Combine like terms: -35 + -2 = -37 -37 + 15m = 4(5m + -12) + 1 Reorder the terms: -37 + 15m = 4(-12 + 5m) + 1 -37 + 15m = (-12 * 4 + 5m * 4) + 1 -37 + 15m = (-48 + 20m) + 1 Reorder the terms: -37 + 15m = -48 + 1 + 20m Combine like terms: -48 + 1 = -47 -37 + 15m = -47 + 20m Solving -37 + 15m = -47 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -37 + 15m + -20m = -47 + 20m + -20m Combine like terms: 15m + -20m = -5m -37 + -5m = -47 + 20m + -20m Combine like terms: 20m + -20m = 0 -37 + -5m = -47 + 0 -37 + -5m = -47 Add '37' to each side of the equation. -37 + 37 + -5m = -47 + 37 Combine like terms: -37 + 37 = 0 0 + -5m = -47 + 37 -5m = -47 + 37 Combine like terms: -47 + 37 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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