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Simplifying 3m + -19 = 2(4m + -5) Reorder the terms: -19 + 3m = 2(4m + -5) Reorder the terms: -19 + 3m = 2(-5 + 4m) -19 + 3m = (-5 * 2 + 4m * 2) -19 + 3m = (-10 + 8m) Solving -19 + 3m = -10 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -19 + 3m + -8m = -10 + 8m + -8m Combine like terms: 3m + -8m = -5m -19 + -5m = -10 + 8m + -8m Combine like terms: 8m + -8m = 0 -19 + -5m = -10 + 0 -19 + -5m = -10 Add '19' to each side of the equation. -19 + 19 + -5m = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -5m = -10 + 19 -5m = -10 + 19 Combine like terms: -10 + 19 = 9 -5m = 9 Divide each side by '-5'. m = -1.8 Simplifying m = -1.8
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