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Simplifying 5m + -9 + 4m = 11(m + -1) + -4(m + -3) Reorder the terms: -9 + 5m + 4m = 11(m + -1) + -4(m + -3) Combine like terms: 5m + 4m = 9m -9 + 9m = 11(m + -1) + -4(m + -3) Reorder the terms: -9 + 9m = 11(-1 + m) + -4(m + -3) -9 + 9m = (-1 * 11 + m * 11) + -4(m + -3) -9 + 9m = (-11 + 11m) + -4(m + -3) Reorder the terms: -9 + 9m = -11 + 11m + -4(-3 + m) -9 + 9m = -11 + 11m + (-3 * -4 + m * -4) -9 + 9m = -11 + 11m + (12 + -4m) Reorder the terms: -9 + 9m = -11 + 12 + 11m + -4m Combine like terms: -11 + 12 = 1 -9 + 9m = 1 + 11m + -4m Combine like terms: 11m + -4m = 7m -9 + 9m = 1 + 7m Solving -9 + 9m = 1 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -9 + 9m + -7m = 1 + 7m + -7m Combine like terms: 9m + -7m = 2m -9 + 2m = 1 + 7m + -7m Combine like terms: 7m + -7m = 0 -9 + 2m = 1 + 0 -9 + 2m = 1 Add '9' to each side of the equation. -9 + 9 + 2m = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2m = 1 + 9 2m = 1 + 9 Combine like terms: 1 + 9 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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