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Simplifying 4m + -9 = 10 + -1(3 + 4m) Reorder the terms: -9 + 4m = 10 + -1(3 + 4m) -9 + 4m = 10 + (3 * -1 + 4m * -1) -9 + 4m = 10 + (-3 + -4m) Combine like terms: 10 + -3 = 7 -9 + 4m = 7 + -4m Solving -9 + 4m = 7 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -9 + 4m + 4m = 7 + -4m + 4m Combine like terms: 4m + 4m = 8m -9 + 8m = 7 + -4m + 4m Combine like terms: -4m + 4m = 0 -9 + 8m = 7 + 0 -9 + 8m = 7 Add '9' to each side of the equation. -9 + 9 + 8m = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8m = 7 + 9 8m = 7 + 9 Combine like terms: 7 + 9 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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