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Simplifying 7m + -8 + 3q = 6q + -9m Reorder the terms: -8 + 7m + 3q = 6q + -9m Reorder the terms: -8 + 7m + 3q = -9m + 6q Solving -8 + 7m + 3q = -9m + 6q Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -8 + 7m + 9m + 3q = -9m + 9m + 6q Combine like terms: 7m + 9m = 16m -8 + 16m + 3q = -9m + 9m + 6q Combine like terms: -9m + 9m = 0 -8 + 16m + 3q = 0 + 6q -8 + 16m + 3q = 6q Add '8' to each side of the equation. -8 + 16m + 8 + 3q = 8 + 6q Reorder the terms: -8 + 8 + 16m + 3q = 8 + 6q Combine like terms: -8 + 8 = 0 0 + 16m + 3q = 8 + 6q 16m + 3q = 8 + 6q Add '-3q' to each side of the equation. 16m + 3q + -3q = 8 + 6q + -3q Combine like terms: 3q + -3q = 0 16m + 0 = 8 + 6q + -3q 16m = 8 + 6q + -3q Combine like terms: 6q + -3q = 3q 16m = 8 + 3q Divide each side by '16'. m = 0.5 + 0.1875q Simplifying m = 0.5 + 0.1875q
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