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Simplifying 4(7m + -5) = 4(-12 + 11m) + 12 Reorder the terms: 4(-5 + 7m) = 4(-12 + 11m) + 12 (-5 * 4 + 7m * 4) = 4(-12 + 11m) + 12 (-20 + 28m) = 4(-12 + 11m) + 12 -20 + 28m = (-12 * 4 + 11m * 4) + 12 -20 + 28m = (-48 + 44m) + 12 Reorder the terms: -20 + 28m = -48 + 12 + 44m Combine like terms: -48 + 12 = -36 -20 + 28m = -36 + 44m Solving -20 + 28m = -36 + 44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-44m' to each side of the equation. -20 + 28m + -44m = -36 + 44m + -44m Combine like terms: 28m + -44m = -16m -20 + -16m = -36 + 44m + -44m Combine like terms: 44m + -44m = 0 -20 + -16m = -36 + 0 -20 + -16m = -36 Add '20' to each side of the equation. -20 + 20 + -16m = -36 + 20 Combine like terms: -20 + 20 = 0 0 + -16m = -36 + 20 -16m = -36 + 20 Combine like terms: -36 + 20 = -16 -16m = -16 Divide each side by '-16'. m = 1 Simplifying m = 1
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