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Simplifying (m + -9) + -1(m + 7) = 4m Reorder the terms: (-9 + m) + -1(m + 7) = 4m Remove parenthesis around (-9 + m) -9 + m + -1(m + 7) = 4m Reorder the terms: -9 + m + -1(7 + m) = 4m -9 + m + (7 * -1 + m * -1) = 4m -9 + m + (-7 + -1m) = 4m Reorder the terms: -9 + -7 + m + -1m = 4m Combine like terms: -9 + -7 = -16 -16 + m + -1m = 4m Combine like terms: m + -1m = 0 -16 + 0 = 4m -16 = 4m Solving -16 = 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. -16 + -4m = 4m + -4m Combine like terms: 4m + -4m = 0 -16 + -4m = 0 Add '16' to each side of the equation. -16 + 16 + -4m = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4m = 0 + 16 -4m = 0 + 16 Combine like terms: 0 + 16 = 16 -4m = 16 Divide each side by '-4'. m = -4 Simplifying m = -4
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