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Simplifying 3(m + -2) + -4 = 4(m + -6) Reorder the terms: 3(-2 + m) + -4 = 4(m + -6) (-2 * 3 + m * 3) + -4 = 4(m + -6) (-6 + 3m) + -4 = 4(m + -6) Reorder the terms: -6 + -4 + 3m = 4(m + -6) Combine like terms: -6 + -4 = -10 -10 + 3m = 4(m + -6) Reorder the terms: -10 + 3m = 4(-6 + m) -10 + 3m = (-6 * 4 + m * 4) -10 + 3m = (-24 + 4m) Solving -10 + 3m = -24 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -10 + 3m + -4m = -24 + 4m + -4m Combine like terms: 3m + -4m = -1m -10 + -1m = -24 + 4m + -4m Combine like terms: 4m + -4m = 0 -10 + -1m = -24 + 0 -10 + -1m = -24 Add '10' to each side of the equation. -10 + 10 + -1m = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = -24 + 10 -1m = -24 + 10 Combine like terms: -24 + 10 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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