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Simplifying 4(4m + -5) + 4 = 6(2m + -6) Reorder the terms: 4(-5 + 4m) + 4 = 6(2m + -6) (-5 * 4 + 4m * 4) + 4 = 6(2m + -6) (-20 + 16m) + 4 = 6(2m + -6) Reorder the terms: -20 + 4 + 16m = 6(2m + -6) Combine like terms: -20 + 4 = -16 -16 + 16m = 6(2m + -6) Reorder the terms: -16 + 16m = 6(-6 + 2m) -16 + 16m = (-6 * 6 + 2m * 6) -16 + 16m = (-36 + 12m) Solving -16 + 16m = -36 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -16 + 16m + -12m = -36 + 12m + -12m Combine like terms: 16m + -12m = 4m -16 + 4m = -36 + 12m + -12m Combine like terms: 12m + -12m = 0 -16 + 4m = -36 + 0 -16 + 4m = -36 Add '16' to each side of the equation. -16 + 16 + 4m = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 4m = -36 + 16 4m = -36 + 16 Combine like terms: -36 + 16 = -20 4m = -20 Divide each side by '4'. m = -5 Simplifying m = -5
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