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Simplifying -32 = 4(-5m + -6) + 4(m + -2) Reorder the terms: -32 = 4(-6 + -5m) + 4(m + -2) -32 = (-6 * 4 + -5m * 4) + 4(m + -2) -32 = (-24 + -20m) + 4(m + -2) Reorder the terms: -32 = -24 + -20m + 4(-2 + m) -32 = -24 + -20m + (-2 * 4 + m * 4) -32 = -24 + -20m + (-8 + 4m) Reorder the terms: -32 = -24 + -8 + -20m + 4m Combine like terms: -24 + -8 = -32 -32 = -32 + -20m + 4m Combine like terms: -20m + 4m = -16m -32 = -32 + -16m Add '32' to each side of the equation. -32 + 32 = -32 + 32 + -16m Combine like terms: -32 + 32 = 0 0 = -32 + 32 + -16m Combine like terms: -32 + 32 = 0 0 = 0 + -16m 0 = -16m Solving 0 = -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 0 + 16m = -16m + 16m Remove the zero: 16m = -16m + 16m Combine like terms: -16m + 16m = 0 16m = 0 Divide each side by '16'. m = 0 Simplifying m = 0
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