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Simplifying 2(m + -4) = 4(m + 3) + -6 Reorder the terms: 2(-4 + m) = 4(m + 3) + -6 (-4 * 2 + m * 2) = 4(m + 3) + -6 (-8 + 2m) = 4(m + 3) + -6 Reorder the terms: -8 + 2m = 4(3 + m) + -6 -8 + 2m = (3 * 4 + m * 4) + -6 -8 + 2m = (12 + 4m) + -6 Reorder the terms: -8 + 2m = 12 + -6 + 4m Combine like terms: 12 + -6 = 6 -8 + 2m = 6 + 4m Solving -8 + 2m = 6 + 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. -8 + 2m + -4m = 6 + 4m + -4m Combine like terms: 2m + -4m = -2m -8 + -2m = 6 + 4m + -4m Combine like terms: 4m + -4m = 0 -8 + -2m = 6 + 0 -8 + -2m = 6 Add '8' to each side of the equation. -8 + 8 + -2m = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2m = 6 + 8 -2m = 6 + 8 Combine like terms: 6 + 8 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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