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Simplifying 3(m + -4) + 1 = 2(m + 3) Reorder the terms: 3(-4 + m) + 1 = 2(m + 3) (-4 * 3 + m * 3) + 1 = 2(m + 3) (-12 + 3m) + 1 = 2(m + 3) Reorder the terms: -12 + 1 + 3m = 2(m + 3) Combine like terms: -12 + 1 = -11 -11 + 3m = 2(m + 3) Reorder the terms: -11 + 3m = 2(3 + m) -11 + 3m = (3 * 2 + m * 2) -11 + 3m = (6 + 2m) Solving -11 + 3m = 6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -11 + 3m + -2m = 6 + 2m + -2m Combine like terms: 3m + -2m = 1m -11 + 1m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -11 + 1m = 6 + 0 -11 + 1m = 6 Add '11' to each side of the equation. -11 + 11 + 1m = 6 + 11 Combine like terms: -11 + 11 = 0 0 + 1m = 6 + 11 1m = 6 + 11 Combine like terms: 6 + 11 = 17 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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