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Simplifying 7 + -4(4 + -3m) = m + 2 7 + (4 * -4 + -3m * -4) = m + 2 7 + (-16 + 12m) = m + 2 Combine like terms: 7 + -16 = -9 -9 + 12m = m + 2 Reorder the terms: -9 + 12m = 2 + m Solving -9 + 12m = 2 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -9 + 12m + -1m = 2 + m + -1m Combine like terms: 12m + -1m = 11m -9 + 11m = 2 + m + -1m Combine like terms: m + -1m = 0 -9 + 11m = 2 + 0 -9 + 11m = 2 Add '9' to each side of the equation. -9 + 9 + 11m = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 11m = 2 + 9 11m = 2 + 9 Combine like terms: 2 + 9 = 11 11m = 11 Divide each side by '11'. m = 1 Simplifying m = 1
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