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Simplifying m + -1(7 + m) = 3m + (m + -3) m + (7 * -1 + m * -1) = 3m + (m + -3) m + (-7 + -1m) = 3m + (m + -3) Reorder the terms: -7 + m + -1m = 3m + (m + -3) Combine like terms: m + -1m = 0 -7 + 0 = 3m + (m + -3) -7 = 3m + (m + -3) Reorder the terms: -7 = 3m + (-3 + m) Remove parenthesis around (-3 + m) -7 = 3m + -3 + m Reorder the terms: -7 = -3 + 3m + m Combine like terms: 3m + m = 4m -7 = -3 + 4m Solving -7 = -3 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -7 + -4m = -3 + 4m + -4m Combine like terms: 4m + -4m = 0 -7 + -4m = -3 + 0 -7 + -4m = -3 Add '7' to each side of the equation. -7 + 7 + -4m = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = -3 + 7 -4m = -3 + 7 Combine like terms: -3 + 7 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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