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Simplifying -4(1 + -7m) + -3 = 5m + 39 (1 * -4 + -7m * -4) + -3 = 5m + 39 (-4 + 28m) + -3 = 5m + 39 Reorder the terms: -4 + -3 + 28m = 5m + 39 Combine like terms: -4 + -3 = -7 -7 + 28m = 5m + 39 Reorder the terms: -7 + 28m = 39 + 5m Solving -7 + 28m = 39 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -7 + 28m + -5m = 39 + 5m + -5m Combine like terms: 28m + -5m = 23m -7 + 23m = 39 + 5m + -5m Combine like terms: 5m + -5m = 0 -7 + 23m = 39 + 0 -7 + 23m = 39 Add '7' to each side of the equation. -7 + 7 + 23m = 39 + 7 Combine like terms: -7 + 7 = 0 0 + 23m = 39 + 7 23m = 39 + 7 Combine like terms: 39 + 7 = 46 23m = 46 Divide each side by '23'. m = 2 Simplifying m = 2
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