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Simplifying 3(m + -7) = -5(1 + -1m) Reorder the terms: 3(-7 + m) = -5(1 + -1m) (-7 * 3 + m * 3) = -5(1 + -1m) (-21 + 3m) = -5(1 + -1m) -21 + 3m = (1 * -5 + -1m * -5) -21 + 3m = (-5 + 5m) Solving -21 + 3m = -5 + 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. -21 + 3m + -5m = -5 + 5m + -5m Combine like terms: 3m + -5m = -2m -21 + -2m = -5 + 5m + -5m Combine like terms: 5m + -5m = 0 -21 + -2m = -5 + 0 -21 + -2m = -5 Add '21' to each side of the equation. -21 + 21 + -2m = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -2m = -5 + 21 -2m = -5 + 21 Combine like terms: -5 + 21 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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