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Simplifying 7m + -9 = 8m + 3(m + 2) Reorder the terms: -9 + 7m = 8m + 3(m + 2) Reorder the terms: -9 + 7m = 8m + 3(2 + m) -9 + 7m = 8m + (2 * 3 + m * 3) -9 + 7m = 8m + (6 + 3m) Reorder the terms: -9 + 7m = 6 + 8m + 3m Combine like terms: 8m + 3m = 11m -9 + 7m = 6 + 11m Solving -9 + 7m = 6 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -9 + 7m + -11m = 6 + 11m + -11m Combine like terms: 7m + -11m = -4m -9 + -4m = 6 + 11m + -11m Combine like terms: 11m + -11m = 0 -9 + -4m = 6 + 0 -9 + -4m = 6 Add '9' to each side of the equation. -9 + 9 + -4m = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -4m = 6 + 9 -4m = 6 + 9 Combine like terms: 6 + 9 = 15 -4m = 15 Divide each side by '-4'. m = -3.75 Simplifying m = -3.75
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