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Simplifying 1 + -1(-3 + 7m) = 6m + 30 1 + (-3 * -1 + 7m * -1) = 6m + 30 1 + (3 + -7m) = 6m + 30 Combine like terms: 1 + 3 = 4 4 + -7m = 6m + 30 Reorder the terms: 4 + -7m = 30 + 6m Solving 4 + -7m = 30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4 + -7m + -6m = 30 + 6m + -6m Combine like terms: -7m + -6m = -13m 4 + -13m = 30 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + -13m = 30 + 0 4 + -13m = 30 Add '-4' to each side of the equation. 4 + -4 + -13m = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -13m = 30 + -4 -13m = 30 + -4 Combine like terms: 30 + -4 = 26 -13m = 26 Divide each side by '-13'. m = -2 Simplifying m = -2
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