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Simplifying -7(m + 1) + -1m + -8 = (m + 3) + 9 Reorder the terms: -7(1 + m) + -1m + -8 = (m + 3) + 9 (1 * -7 + m * -7) + -1m + -8 = (m + 3) + 9 (-7 + -7m) + -1m + -8 = (m + 3) + 9 Reorder the terms: -7 + -8 + -7m + -1m = (m + 3) + 9 Combine like terms: -7 + -8 = -15 -15 + -7m + -1m = (m + 3) + 9 Combine like terms: -7m + -1m = -8m -15 + -8m = (m + 3) + 9 Reorder the terms: -15 + -8m = (3 + m) + 9 Remove parenthesis around (3 + m) -15 + -8m = 3 + m + 9 Reorder the terms: -15 + -8m = 3 + 9 + m Combine like terms: 3 + 9 = 12 -15 + -8m = 12 + m Solving -15 + -8m = 12 + 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. -15 + -8m + -1m = 12 + m + -1m Combine like terms: -8m + -1m = -9m -15 + -9m = 12 + m + -1m Combine like terms: m + -1m = 0 -15 + -9m = 12 + 0 -15 + -9m = 12 Add '15' to each side of the equation. -15 + 15 + -9m = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -9m = 12 + 15 -9m = 12 + 15 Combine like terms: 12 + 15 = 27 -9m = 27 Divide each side by '-9'. m = -3 Simplifying m = -3
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