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Simplifying 3(m + -4) + 2 = 2(m + 3) Reorder the terms: 3(-4 + m) + 2 = 2(m + 3) (-4 * 3 + m * 3) + 2 = 2(m + 3) (-12 + 3m) + 2 = 2(m + 3) Reorder the terms: -12 + 2 + 3m = 2(m + 3) Combine like terms: -12 + 2 = -10 -10 + 3m = 2(m + 3) Reorder the terms: -10 + 3m = 2(3 + m) -10 + 3m = (3 * 2 + m * 2) -10 + 3m = (6 + 2m) Solving -10 + 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. -10 + 3m + -2m = 6 + 2m + -2m Combine like terms: 3m + -2m = 1m -10 + 1m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -10 + 1m = 6 + 0 -10 + 1m = 6 Add '10' to each side of the equation. -10 + 10 + 1m = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1m = 6 + 10 1m = 6 + 10 Combine like terms: 6 + 10 = 16 1m = 16 Divide each side by '1'. m = 16 Simplifying m = 16
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