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Simplifying 2m + 3(m + -2) = 7m + -34 Reorder the terms: 2m + 3(-2 + m) = 7m + -34 2m + (-2 * 3 + m * 3) = 7m + -34 2m + (-6 + 3m) = 7m + -34 Reorder the terms: -6 + 2m + 3m = 7m + -34 Combine like terms: 2m + 3m = 5m -6 + 5m = 7m + -34 Reorder the terms: -6 + 5m = -34 + 7m Solving -6 + 5m = -34 + 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. -6 + 5m + -7m = -34 + 7m + -7m Combine like terms: 5m + -7m = -2m -6 + -2m = -34 + 7m + -7m Combine like terms: 7m + -7m = 0 -6 + -2m = -34 + 0 -6 + -2m = -34 Add '6' to each side of the equation. -6 + 6 + -2m = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -2m = -34 + 6 -2m = -34 + 6 Combine like terms: -34 + 6 = -28 -2m = -28 Divide each side by '-2'. m = 14 Simplifying m = 14
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