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Simplifying 8(m + 3) + 9(m + 2) = m + -6 Reorder the terms: 8(3 + m) + 9(m + 2) = m + -6 (3 * 8 + m * 8) + 9(m + 2) = m + -6 (24 + 8m) + 9(m + 2) = m + -6 Reorder the terms: 24 + 8m + 9(2 + m) = m + -6 24 + 8m + (2 * 9 + m * 9) = m + -6 24 + 8m + (18 + 9m) = m + -6 Reorder the terms: 24 + 18 + 8m + 9m = m + -6 Combine like terms: 24 + 18 = 42 42 + 8m + 9m = m + -6 Combine like terms: 8m + 9m = 17m 42 + 17m = m + -6 Reorder the terms: 42 + 17m = -6 + m Solving 42 + 17m = -6 + 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. 42 + 17m + -1m = -6 + m + -1m Combine like terms: 17m + -1m = 16m 42 + 16m = -6 + m + -1m Combine like terms: m + -1m = 0 42 + 16m = -6 + 0 42 + 16m = -6 Add '-42' to each side of the equation. 42 + -42 + 16m = -6 + -42 Combine like terms: 42 + -42 = 0 0 + 16m = -6 + -42 16m = -6 + -42 Combine like terms: -6 + -42 = -48 16m = -48 Divide each side by '16'. m = -3 Simplifying m = -3
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