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Simplifying -7 + -5(m + 7) = 2(3m + -5) + -3m Reorder the terms: -7 + -5(7 + m) = 2(3m + -5) + -3m -7 + (7 * -5 + m * -5) = 2(3m + -5) + -3m -7 + (-35 + -5m) = 2(3m + -5) + -3m Combine like terms: -7 + -35 = -42 -42 + -5m = 2(3m + -5) + -3m Reorder the terms: -42 + -5m = 2(-5 + 3m) + -3m -42 + -5m = (-5 * 2 + 3m * 2) + -3m -42 + -5m = (-10 + 6m) + -3m Combine like terms: 6m + -3m = 3m -42 + -5m = -10 + 3m Solving -42 + -5m = -10 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -42 + -5m + -3m = -10 + 3m + -3m Combine like terms: -5m + -3m = -8m -42 + -8m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 -42 + -8m = -10 + 0 -42 + -8m = -10 Add '42' to each side of the equation. -42 + 42 + -8m = -10 + 42 Combine like terms: -42 + 42 = 0 0 + -8m = -10 + 42 -8m = -10 + 42 Combine like terms: -10 + 42 = 32 -8m = 32 Divide each side by '-8'. m = -4 Simplifying m = -4
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