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Simplifying 7m + -1(9 + -4m) = 3(m + -11) 7m + (9 * -1 + -4m * -1) = 3(m + -11) 7m + (-9 + 4m) = 3(m + -11) Reorder the terms: -9 + 7m + 4m = 3(m + -11) Combine like terms: 7m + 4m = 11m -9 + 11m = 3(m + -11) Reorder the terms: -9 + 11m = 3(-11 + m) -9 + 11m = (-11 * 3 + m * 3) -9 + 11m = (-33 + 3m) Solving -9 + 11m = -33 + 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. -9 + 11m + -3m = -33 + 3m + -3m Combine like terms: 11m + -3m = 8m -9 + 8m = -33 + 3m + -3m Combine like terms: 3m + -3m = 0 -9 + 8m = -33 + 0 -9 + 8m = -33 Add '9' to each side of the equation. -9 + 9 + 8m = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 8m = -33 + 9 8m = -33 + 9 Combine like terms: -33 + 9 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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