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Simplifying 12 + -1(m + 2) + 4m + 1 = m + 11 Reorder the terms: 12 + -1(2 + m) + 4m + 1 = m + 11 12 + (2 * -1 + m * -1) + 4m + 1 = m + 11 12 + (-2 + -1m) + 4m + 1 = m + 11 Reorder the terms: 12 + -2 + 1 + -1m + 4m = m + 11 Combine like terms: 12 + -2 = 10 10 + 1 + -1m + 4m = m + 11 Combine like terms: 10 + 1 = 11 11 + -1m + 4m = m + 11 Combine like terms: -1m + 4m = 3m 11 + 3m = m + 11 Reorder the terms: 11 + 3m = 11 + m Add '-11' to each side of the equation. 11 + -11 + 3m = 11 + -11 + m Combine like terms: 11 + -11 = 0 0 + 3m = 11 + -11 + m 3m = 11 + -11 + m Combine like terms: 11 + -11 = 0 3m = 0 + m 3m = m Solving 3m = 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. 3m + -1m = m + -1m Combine like terms: 3m + -1m = 2m 2m = m + -1m Combine like terms: m + -1m = 0 2m = 0 Divide each side by '2'. m = 0 Simplifying m = 0
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