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Simplifying -2(3m + -2) + -1(m + -1) = m + 2 Reorder the terms: -2(-2 + 3m) + -1(m + -1) = m + 2 (-2 * -2 + 3m * -2) + -1(m + -1) = m + 2 (4 + -6m) + -1(m + -1) = m + 2 Reorder the terms: 4 + -6m + -1(-1 + m) = m + 2 4 + -6m + (-1 * -1 + m * -1) = m + 2 4 + -6m + (1 + -1m) = m + 2 Reorder the terms: 4 + 1 + -6m + -1m = m + 2 Combine like terms: 4 + 1 = 5 5 + -6m + -1m = m + 2 Combine like terms: -6m + -1m = -7m 5 + -7m = m + 2 Reorder the terms: 5 + -7m = 2 + m Solving 5 + -7m = 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. 5 + -7m + -1m = 2 + m + -1m Combine like terms: -7m + -1m = -8m 5 + -8m = 2 + m + -1m Combine like terms: m + -1m = 0 5 + -8m = 2 + 0 5 + -8m = 2 Add '-5' to each side of the equation. 5 + -5 + -8m = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = 2 + -5 -8m = 2 + -5 Combine like terms: 2 + -5 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375
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