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Simplifying 8(-10 + -6m) = -8(2m + 2) (-10 * 8 + -6m * 8) = -8(2m + 2) (-80 + -48m) = -8(2m + 2) Reorder the terms: -80 + -48m = -8(2 + 2m) -80 + -48m = (2 * -8 + 2m * -8) -80 + -48m = (-16 + -16m) Solving -80 + -48m = -16 + -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. -80 + -48m + 16m = -16 + -16m + 16m Combine like terms: -48m + 16m = -32m -80 + -32m = -16 + -16m + 16m Combine like terms: -16m + 16m = 0 -80 + -32m = -16 + 0 -80 + -32m = -16 Add '80' to each side of the equation. -80 + 80 + -32m = -16 + 80 Combine like terms: -80 + 80 = 0 0 + -32m = -16 + 80 -32m = -16 + 80 Combine like terms: -16 + 80 = 64 -32m = 64 Divide each side by '-32'. m = -2 Simplifying m = -2
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