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Simplifying (2m + -3) + -1(3m + -1) = 2 + (m + 4) Reorder the terms: (-3 + 2m) + -1(3m + -1) = 2 + (m + 4) Remove parenthesis around (-3 + 2m) -3 + 2m + -1(3m + -1) = 2 + (m + 4) Reorder the terms: -3 + 2m + -1(-1 + 3m) = 2 + (m + 4) -3 + 2m + (-1 * -1 + 3m * -1) = 2 + (m + 4) -3 + 2m + (1 + -3m) = 2 + (m + 4) Reorder the terms: -3 + 1 + 2m + -3m = 2 + (m + 4) Combine like terms: -3 + 1 = -2 -2 + 2m + -3m = 2 + (m + 4) Combine like terms: 2m + -3m = -1m -2 + -1m = 2 + (m + 4) Reorder the terms: -2 + -1m = 2 + (4 + m) Remove parenthesis around (4 + m) -2 + -1m = 2 + 4 + m Combine like terms: 2 + 4 = 6 -2 + -1m = 6 + m Solving -2 + -1m = 6 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -2 + -1m + -1m = 6 + m + -1m Combine like terms: -1m + -1m = -2m -2 + -2m = 6 + m + -1m Combine like terms: m + -1m = 0 -2 + -2m = 6 + 0 -2 + -2m = 6 Add '2' to each side of the equation. -2 + 2 + -2m = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 6 + 2 -2m = 6 + 2 Combine like terms: 6 + 2 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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