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Simplifying 4(m + -5) + -1m = 8 + 7m + -5 Reorder the terms: 4(-5 + m) + -1m = 8 + 7m + -5 (-5 * 4 + m * 4) + -1m = 8 + 7m + -5 (-20 + 4m) + -1m = 8 + 7m + -5 Combine like terms: 4m + -1m = 3m -20 + 3m = 8 + 7m + -5 Reorder the terms: -20 + 3m = 8 + -5 + 7m Combine like terms: 8 + -5 = 3 -20 + 3m = 3 + 7m Solving -20 + 3m = 3 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -20 + 3m + -7m = 3 + 7m + -7m Combine like terms: 3m + -7m = -4m -20 + -4m = 3 + 7m + -7m Combine like terms: 7m + -7m = 0 -20 + -4m = 3 + 0 -20 + -4m = 3 Add '20' to each side of the equation. -20 + 20 + -4m = 3 + 20 Combine like terms: -20 + 20 = 0 0 + -4m = 3 + 20 -4m = 3 + 20 Combine like terms: 3 + 20 = 23 -4m = 23 Divide each side by '-4'. m = -5.75 Simplifying m = -5.75
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