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Simplifying -2m + 33 = -7(4m + -1) Reorder the terms: 33 + -2m = -7(4m + -1) Reorder the terms: 33 + -2m = -7(-1 + 4m) 33 + -2m = (-1 * -7 + 4m * -7) 33 + -2m = (7 + -28m) Solving 33 + -2m = 7 + -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. 33 + -2m + 28m = 7 + -28m + 28m Combine like terms: -2m + 28m = 26m 33 + 26m = 7 + -28m + 28m Combine like terms: -28m + 28m = 0 33 + 26m = 7 + 0 33 + 26m = 7 Add '-33' to each side of the equation. 33 + -33 + 26m = 7 + -33 Combine like terms: 33 + -33 = 0 0 + 26m = 7 + -33 26m = 7 + -33 Combine like terms: 7 + -33 = -26 26m = -26 Divide each side by '26'. m = -1 Simplifying m = -1
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