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Simplifying 3(m + -2) + -4 = 7m + 14 Reorder the terms: 3(-2 + m) + -4 = 7m + 14 (-2 * 3 + m * 3) + -4 = 7m + 14 (-6 + 3m) + -4 = 7m + 14 Reorder the terms: -6 + -4 + 3m = 7m + 14 Combine like terms: -6 + -4 = -10 -10 + 3m = 7m + 14 Reorder the terms: -10 + 3m = 14 + 7m Solving -10 + 3m = 14 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -10 + 3m + -7m = 14 + 7m + -7m Combine like terms: 3m + -7m = -4m -10 + -4m = 14 + 7m + -7m Combine like terms: 7m + -7m = 0 -10 + -4m = 14 + 0 -10 + -4m = 14 Add '10' to each side of the equation. -10 + 10 + -4m = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -4m = 14 + 10 -4m = 14 + 10 Combine like terms: 14 + 10 = 24 -4m = 24 Divide each side by '-4'. m = -6 Simplifying m = -6
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