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Simplifying -4(-2m + 8) = 6(m + -8) Reorder the terms: -4(8 + -2m) = 6(m + -8) (8 * -4 + -2m * -4) = 6(m + -8) (-32 + 8m) = 6(m + -8) Reorder the terms: -32 + 8m = 6(-8 + m) -32 + 8m = (-8 * 6 + m * 6) -32 + 8m = (-48 + 6m) Solving -32 + 8m = -48 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -32 + 8m + -6m = -48 + 6m + -6m Combine like terms: 8m + -6m = 2m -32 + 2m = -48 + 6m + -6m Combine like terms: 6m + -6m = 0 -32 + 2m = -48 + 0 -32 + 2m = -48 Add '32' to each side of the equation. -32 + 32 + 2m = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 2m = -48 + 32 2m = -48 + 32 Combine like terms: -48 + 32 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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