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Simplifying -8(-2m + 10) = -9m + 8(10m + -10) Reorder the terms: -8(10 + -2m) = -9m + 8(10m + -10) (10 * -8 + -2m * -8) = -9m + 8(10m + -10) (-80 + 16m) = -9m + 8(10m + -10) Reorder the terms: -80 + 16m = -9m + 8(-10 + 10m) -80 + 16m = -9m + (-10 * 8 + 10m * 8) -80 + 16m = -9m + (-80 + 80m) Reorder the terms: -80 + 16m = -80 + -9m + 80m Combine like terms: -9m + 80m = 71m -80 + 16m = -80 + 71m Add '80' to each side of the equation. -80 + 80 + 16m = -80 + 80 + 71m Combine like terms: -80 + 80 = 0 0 + 16m = -80 + 80 + 71m 16m = -80 + 80 + 71m Combine like terms: -80 + 80 = 0 16m = 0 + 71m 16m = 71m Solving 16m = 71m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-71m' to each side of the equation. 16m + -71m = 71m + -71m Combine like terms: 16m + -71m = -55m -55m = 71m + -71m Combine like terms: 71m + -71m = 0 -55m = 0 Divide each side by '-55'. m = 0 Simplifying m = 0
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