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Simplifying 8(2m + -5) = -4(3m + 12) Reorder the terms: 8(-5 + 2m) = -4(3m + 12) (-5 * 8 + 2m * 8) = -4(3m + 12) (-40 + 16m) = -4(3m + 12) Reorder the terms: -40 + 16m = -4(12 + 3m) -40 + 16m = (12 * -4 + 3m * -4) -40 + 16m = (-48 + -12m) Solving -40 + 16m = -48 + -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. -40 + 16m + 12m = -48 + -12m + 12m Combine like terms: 16m + 12m = 28m -40 + 28m = -48 + -12m + 12m Combine like terms: -12m + 12m = 0 -40 + 28m = -48 + 0 -40 + 28m = -48 Add '40' to each side of the equation. -40 + 40 + 28m = -48 + 40 Combine like terms: -40 + 40 = 0 0 + 28m = -48 + 40 28m = -48 + 40 Combine like terms: -48 + 40 = -8 28m = -8 Divide each side by '28'. m = -0.2857142857 Simplifying m = -0.2857142857
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