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Simplifying -5(m + -5) = -7 + -7(m + -4) Reorder the terms: -5(-5 + m) = -7 + -7(m + -4) (-5 * -5 + m * -5) = -7 + -7(m + -4) (25 + -5m) = -7 + -7(m + -4) Reorder the terms: 25 + -5m = -7 + -7(-4 + m) 25 + -5m = -7 + (-4 * -7 + m * -7) 25 + -5m = -7 + (28 + -7m) Combine like terms: -7 + 28 = 21 25 + -5m = 21 + -7m Solving 25 + -5m = 21 + -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. 25 + -5m + 7m = 21 + -7m + 7m Combine like terms: -5m + 7m = 2m 25 + 2m = 21 + -7m + 7m Combine like terms: -7m + 7m = 0 25 + 2m = 21 + 0 25 + 2m = 21 Add '-25' to each side of the equation. 25 + -25 + 2m = 21 + -25 Combine like terms: 25 + -25 = 0 0 + 2m = 21 + -25 2m = 21 + -25 Combine like terms: 21 + -25 = -4 2m = -4 Divide each side by '2'. m = -2 Simplifying m = -2
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