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Simplifying -8(4m + -6) = 16(2m + -5) Reorder the terms: -8(-6 + 4m) = 16(2m + -5) (-6 * -8 + 4m * -8) = 16(2m + -5) (48 + -32m) = 16(2m + -5) Reorder the terms: 48 + -32m = 16(-5 + 2m) 48 + -32m = (-5 * 16 + 2m * 16) 48 + -32m = (-80 + 32m) Solving 48 + -32m = -80 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. 48 + -32m + -32m = -80 + 32m + -32m Combine like terms: -32m + -32m = -64m 48 + -64m = -80 + 32m + -32m Combine like terms: 32m + -32m = 0 48 + -64m = -80 + 0 48 + -64m = -80 Add '-48' to each side of the equation. 48 + -48 + -64m = -80 + -48 Combine like terms: 48 + -48 = 0 0 + -64m = -80 + -48 -64m = -80 + -48 Combine like terms: -80 + -48 = -128 -64m = -128 Divide each side by '-64'. m = 2 Simplifying m = 2
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