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Simplifying -40 + -4m = -5(m + 7) Reorder the terms: -40 + -4m = -5(7 + m) -40 + -4m = (7 * -5 + m * -5) -40 + -4m = (-35 + -5m) Solving -40 + -4m = -35 + -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. -40 + -4m + 5m = -35 + -5m + 5m Combine like terms: -4m + 5m = 1m -40 + 1m = -35 + -5m + 5m Combine like terms: -5m + 5m = 0 -40 + 1m = -35 + 0 -40 + 1m = -35 Add '40' to each side of the equation. -40 + 40 + 1m = -35 + 40 Combine like terms: -40 + 40 = 0 0 + 1m = -35 + 40 1m = -35 + 40 Combine like terms: -35 + 40 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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