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