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Simplifying 4(m + -3) = 2(m + -4.5) Reorder the terms: 4(-3 + m) = 2(m + -4.5) (-3 * 4 + m * 4) = 2(m + -4.5) (-12 + 4m) = 2(m + -4.5) Reorder the terms: -12 + 4m = 2(-4.5 + m) -12 + 4m = (-4.5 * 2 + m * 2) -12 + 4m = (-9 + 2m) Solving -12 + 4m = -9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -12 + 4m + -2m = -9 + 2m + -2m Combine like terms: 4m + -2m = 2m -12 + 2m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + 2m = -9 + 0 -12 + 2m = -9 Add '12' to each side of the equation. -12 + 12 + 2m = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 2m = -9 + 12 2m = -9 + 12 Combine like terms: -9 + 12 = 3 2m = 3 Divide each side by '2'. m = 1.5 Simplifying m = 1.5
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