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Simplifying 3(m + 2) + 3 = m + -2(2m + -1) Reorder the terms: 3(2 + m) + 3 = m + -2(2m + -1) (2 * 3 + m * 3) + 3 = m + -2(2m + -1) (6 + 3m) + 3 = m + -2(2m + -1) Reorder the terms: 6 + 3 + 3m = m + -2(2m + -1) Combine like terms: 6 + 3 = 9 9 + 3m = m + -2(2m + -1) Reorder the terms: 9 + 3m = m + -2(-1 + 2m) 9 + 3m = m + (-1 * -2 + 2m * -2) 9 + 3m = m + (2 + -4m) Reorder the terms: 9 + 3m = 2 + m + -4m Combine like terms: m + -4m = -3m 9 + 3m = 2 + -3m Solving 9 + 3m = 2 + -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 + 3m + 3m = 2 + -3m + 3m Combine like terms: 3m + 3m = 6m 9 + 6m = 2 + -3m + 3m Combine like terms: -3m + 3m = 0 9 + 6m = 2 + 0 9 + 6m = 2 Add '-9' to each side of the equation. 9 + -9 + 6m = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 6m = 2 + -9 6m = 2 + -9 Combine like terms: 2 + -9 = -7 6m = -7 Divide each side by '6'. m = -1.166666667 Simplifying m = -1.166666667
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