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Simplifying 10q + 3q + 5 = 2(q + 3) Reorder the terms: 5 + 10q + 3q = 2(q + 3) Combine like terms: 10q + 3q = 13q 5 + 13q = 2(q + 3) Reorder the terms: 5 + 13q = 2(3 + q) 5 + 13q = (3 * 2 + q * 2) 5 + 13q = (6 + 2q) Solving 5 + 13q = 6 + 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. 5 + 13q + -2q = 6 + 2q + -2q Combine like terms: 13q + -2q = 11q 5 + 11q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 11q = 6 + 0 5 + 11q = 6 Add '-5' to each side of the equation. 5 + -5 + 11q = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 11q = 6 + -5 11q = 6 + -5 Combine like terms: 6 + -5 = 1 11q = 1 Divide each side by '11'. q = 0.09090909091 Simplifying q = 0.09090909091
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