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Simplifying 4(3m + -4) + -8(m + 4) = 0 Reorder the terms: 4(-4 + 3m) + -8(m + 4) = 0 (-4 * 4 + 3m * 4) + -8(m + 4) = 0 (-16 + 12m) + -8(m + 4) = 0 Reorder the terms: -16 + 12m + -8(4 + m) = 0 -16 + 12m + (4 * -8 + m * -8) = 0 -16 + 12m + (-32 + -8m) = 0 Reorder the terms: -16 + -32 + 12m + -8m = 0 Combine like terms: -16 + -32 = -48 -48 + 12m + -8m = 0 Combine like terms: 12m + -8m = 4m -48 + 4m = 0 Solving -48 + 4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 4m = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 4m = 0 + 48 4m = 0 + 48 Combine like terms: 0 + 48 = 48 4m = 48 Divide each side by '4'. m = 12 Simplifying m = 12
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