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Simplifying 3(q + -2) + 5q + -7 = 2q Reorder the terms: 3(-2 + q) + 5q + -7 = 2q (-2 * 3 + q * 3) + 5q + -7 = 2q (-6 + 3q) + 5q + -7 = 2q Reorder the terms: -6 + -7 + 3q + 5q = 2q Combine like terms: -6 + -7 = -13 -13 + 3q + 5q = 2q Combine like terms: 3q + 5q = 8q -13 + 8q = 2q Solving -13 + 8q = 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -13 + 8q + -2q = 2q + -2q Combine like terms: 8q + -2q = 6q -13 + 6q = 2q + -2q Combine like terms: 2q + -2q = 0 -13 + 6q = 0 Add '13' to each side of the equation. -13 + 13 + 6q = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6q = 0 + 13 6q = 0 + 13 Combine like terms: 0 + 13 = 13 6q = 13 Divide each side by '6'. q = 2.166666667 Simplifying q = 2.166666667
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