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Simplifying 10m + -45 = 5 + 10(2m + -1) Reorder the terms: -45 + 10m = 5 + 10(2m + -1) Reorder the terms: -45 + 10m = 5 + 10(-1 + 2m) -45 + 10m = 5 + (-1 * 10 + 2m * 10) -45 + 10m = 5 + (-10 + 20m) Combine like terms: 5 + -10 = -5 -45 + 10m = -5 + 20m Solving -45 + 10m = -5 + 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. -45 + 10m + -20m = -5 + 20m + -20m Combine like terms: 10m + -20m = -10m -45 + -10m = -5 + 20m + -20m Combine like terms: 20m + -20m = 0 -45 + -10m = -5 + 0 -45 + -10m = -5 Add '45' to each side of the equation. -45 + 45 + -10m = -5 + 45 Combine like terms: -45 + 45 = 0 0 + -10m = -5 + 45 -10m = -5 + 45 Combine like terms: -5 + 45 = 40 -10m = 40 Divide each side by '-10'. m = -4 Simplifying m = -4
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