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Simplifying -4(m + 10) = 8m + 4(-12 + -2m) Reorder the terms: -4(10 + m) = 8m + 4(-12 + -2m) (10 * -4 + m * -4) = 8m + 4(-12 + -2m) (-40 + -4m) = 8m + 4(-12 + -2m) -40 + -4m = 8m + (-12 * 4 + -2m * 4) -40 + -4m = 8m + (-48 + -8m) Reorder the terms: -40 + -4m = -48 + 8m + -8m Combine like terms: 8m + -8m = 0 -40 + -4m = -48 + 0 -40 + -4m = -48 Solving -40 + -4m = -48 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -4m = -48 + 40 Combine like terms: -40 + 40 = 0 0 + -4m = -48 + 40 -4m = -48 + 40 Combine like terms: -48 + 40 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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