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Simplifying 6(m + -2) + 4 = 3(m + 2) + -10 Reorder the terms: 6(-2 + m) + 4 = 3(m + 2) + -10 (-2 * 6 + m * 6) + 4 = 3(m + 2) + -10 (-12 + 6m) + 4 = 3(m + 2) + -10 Reorder the terms: -12 + 4 + 6m = 3(m + 2) + -10 Combine like terms: -12 + 4 = -8 -8 + 6m = 3(m + 2) + -10 Reorder the terms: -8 + 6m = 3(2 + m) + -10 -8 + 6m = (2 * 3 + m * 3) + -10 -8 + 6m = (6 + 3m) + -10 Reorder the terms: -8 + 6m = 6 + -10 + 3m Combine like terms: 6 + -10 = -4 -8 + 6m = -4 + 3m Solving -8 + 6m = -4 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -8 + 6m + -3m = -4 + 3m + -3m Combine like terms: 6m + -3m = 3m -8 + 3m = -4 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + 3m = -4 + 0 -8 + 3m = -4 Add '8' to each side of the equation. -8 + 8 + 3m = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = -4 + 8 3m = -4 + 8 Combine like terms: -4 + 8 = 4 3m = 4 Divide each side by '3'. m = 1.333333333 Simplifying m = 1.333333333
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