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Simplifying 4m + -1(7m + -7) = 3m + 1 Reorder the terms: 4m + -1(-7 + 7m) = 3m + 1 4m + (-7 * -1 + 7m * -1) = 3m + 1 4m + (7 + -7m) = 3m + 1 Reorder the terms: 7 + 4m + -7m = 3m + 1 Combine like terms: 4m + -7m = -3m 7 + -3m = 3m + 1 Reorder the terms: 7 + -3m = 1 + 3m Solving 7 + -3m = 1 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 7 + -3m + -3m = 1 + 3m + -3m Combine like terms: -3m + -3m = -6m 7 + -6m = 1 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -6m = 1 + 0 7 + -6m = 1 Add '-7' to each side of the equation. 7 + -7 + -6m = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 1 + -7 -6m = 1 + -7 Combine like terms: 1 + -7 = -6 -6m = -6 Divide each side by '-6'. m = 1 Simplifying m = 1
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