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Simplifying 8 + -2(4m + -3) + m = 3(m + -2) Reorder the terms: 8 + -2(-3 + 4m) + m = 3(m + -2) 8 + (-3 * -2 + 4m * -2) + m = 3(m + -2) 8 + (6 + -8m) + m = 3(m + -2) Combine like terms: 8 + 6 = 14 14 + -8m + m = 3(m + -2) Combine like terms: -8m + m = -7m 14 + -7m = 3(m + -2) Reorder the terms: 14 + -7m = 3(-2 + m) 14 + -7m = (-2 * 3 + m * 3) 14 + -7m = (-6 + 3m) Solving 14 + -7m = -6 + 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. 14 + -7m + -3m = -6 + 3m + -3m Combine like terms: -7m + -3m = -10m 14 + -10m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -10m = -6 + 0 14 + -10m = -6 Add '-14' to each side of the equation. 14 + -14 + -10m = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10m = -6 + -14 -10m = -6 + -14 Combine like terms: -6 + -14 = -20 -10m = -20 Divide each side by '-10'. m = 2 Simplifying m = 2
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