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Simplifying 2m + 5 = -7(-4m + 3) Reorder the terms: 5 + 2m = -7(-4m + 3) Reorder the terms: 5 + 2m = -7(3 + -4m) 5 + 2m = (3 * -7 + -4m * -7) 5 + 2m = (-21 + 28m) Solving 5 + 2m = -21 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. 5 + 2m + -28m = -21 + 28m + -28m Combine like terms: 2m + -28m = -26m 5 + -26m = -21 + 28m + -28m Combine like terms: 28m + -28m = 0 5 + -26m = -21 + 0 5 + -26m = -21 Add '-5' to each side of the equation. 5 + -5 + -26m = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -26m = -21 + -5 -26m = -21 + -5 Combine like terms: -21 + -5 = -26 -26m = -26 Divide each side by '-26'. m = 1 Simplifying m = 1
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