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Simplifying -7m + 28 + -4(m + -3) = 6m + -1(3m + -4) + -9m + 1 Reorder the terms: -7m + 28 + -4(-3 + m) = 6m + -1(3m + -4) + -9m + 1 -7m + 28 + (-3 * -4 + m * -4) = 6m + -1(3m + -4) + -9m + 1 -7m + 28 + (12 + -4m) = 6m + -1(3m + -4) + -9m + 1 Reorder the terms: 28 + 12 + -7m + -4m = 6m + -1(3m + -4) + -9m + 1 Combine like terms: 28 + 12 = 40 40 + -7m + -4m = 6m + -1(3m + -4) + -9m + 1 Combine like terms: -7m + -4m = -11m 40 + -11m = 6m + -1(3m + -4) + -9m + 1 Reorder the terms: 40 + -11m = 6m + -1(-4 + 3m) + -9m + 1 40 + -11m = 6m + (-4 * -1 + 3m * -1) + -9m + 1 40 + -11m = 6m + (4 + -3m) + -9m + 1 Reorder the terms: 40 + -11m = 4 + 1 + 6m + -3m + -9m Combine like terms: 4 + 1 = 5 40 + -11m = 5 + 6m + -3m + -9m Combine like terms: 6m + -3m = 3m 40 + -11m = 5 + 3m + -9m Combine like terms: 3m + -9m = -6m 40 + -11m = 5 + -6m Solving 40 + -11m = 5 + -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. 40 + -11m + 6m = 5 + -6m + 6m Combine like terms: -11m + 6m = -5m 40 + -5m = 5 + -6m + 6m Combine like terms: -6m + 6m = 0 40 + -5m = 5 + 0 40 + -5m = 5 Add '-40' to each side of the equation. 40 + -40 + -5m = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -5m = 5 + -40 -5m = 5 + -40 Combine like terms: 5 + -40 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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