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Simplifying 7(m + -4) + 12 = 3m + 20 Reorder the terms: 7(-4 + m) + 12 = 3m + 20 (-4 * 7 + m * 7) + 12 = 3m + 20 (-28 + 7m) + 12 = 3m + 20 Reorder the terms: -28 + 12 + 7m = 3m + 20 Combine like terms: -28 + 12 = -16 -16 + 7m = 3m + 20 Reorder the terms: -16 + 7m = 20 + 3m Solving -16 + 7m = 20 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -16 + 7m + -3m = 20 + 3m + -3m Combine like terms: 7m + -3m = 4m -16 + 4m = 20 + 3m + -3m Combine like terms: 3m + -3m = 0 -16 + 4m = 20 + 0 -16 + 4m = 20 Add '16' to each side of the equation. -16 + 16 + 4m = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 4m = 20 + 16 4m = 20 + 16 Combine like terms: 20 + 16 = 36 4m = 36 Divide each side by '4'. m = 9 Simplifying m = 9
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