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Simplifying 6(13q + 14) + 15 = 7(13q + 4) Reorder the terms: 6(14 + 13q) + 15 = 7(13q + 4) (14 * 6 + 13q * 6) + 15 = 7(13q + 4) (84 + 78q) + 15 = 7(13q + 4) Reorder the terms: 84 + 15 + 78q = 7(13q + 4) Combine like terms: 84 + 15 = 99 99 + 78q = 7(13q + 4) Reorder the terms: 99 + 78q = 7(4 + 13q) 99 + 78q = (4 * 7 + 13q * 7) 99 + 78q = (28 + 91q) Solving 99 + 78q = 28 + 91q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-91q' to each side of the equation. 99 + 78q + -91q = 28 + 91q + -91q Combine like terms: 78q + -91q = -13q 99 + -13q = 28 + 91q + -91q Combine like terms: 91q + -91q = 0 99 + -13q = 28 + 0 99 + -13q = 28 Add '-99' to each side of the equation. 99 + -99 + -13q = 28 + -99 Combine like terms: 99 + -99 = 0 0 + -13q = 28 + -99 -13q = 28 + -99 Combine like terms: 28 + -99 = -71 -13q = -71 Divide each side by '-13'. q = 5.461538462 Simplifying q = 5.461538462
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