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Simplifying 2 + 5(2q + -3) = 3q + 7 Reorder the terms: 2 + 5(-3 + 2q) = 3q + 7 2 + (-3 * 5 + 2q * 5) = 3q + 7 2 + (-15 + 10q) = 3q + 7 Combine like terms: 2 + -15 = -13 -13 + 10q = 3q + 7 Reorder the terms: -13 + 10q = 7 + 3q Solving -13 + 10q = 7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -13 + 10q + -3q = 7 + 3q + -3q Combine like terms: 10q + -3q = 7q -13 + 7q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 -13 + 7q = 7 + 0 -13 + 7q = 7 Add '13' to each side of the equation. -13 + 13 + 7q = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 7q = 7 + 13 7q = 7 + 13 Combine like terms: 7 + 13 = 20 7q = 20 Divide each side by '7'. q = 2.857142857 Simplifying q = 2.857142857
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