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Simplifying -7(m + -3) = 35 + -5m Reorder the terms: -7(-3 + m) = 35 + -5m (-3 * -7 + m * -7) = 35 + -5m (21 + -7m) = 35 + -5m Solving 21 + -7m = 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. 21 + -7m + 5m = 35 + -5m + 5m Combine like terms: -7m + 5m = -2m 21 + -2m = 35 + -5m + 5m Combine like terms: -5m + 5m = 0 21 + -2m = 35 + 0 21 + -2m = 35 Add '-21' to each side of the equation. 21 + -21 + -2m = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -2m = 35 + -21 -2m = 35 + -21 Combine like terms: 35 + -21 = 14 -2m = 14 Divide each side by '-2'. m = -7 Simplifying m = -7
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