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Simplifying 100 + -8q = 8q + 34 Reorder the terms: 100 + -8q = 34 + 8q Solving 100 + -8q = 34 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 100 + -8q + -8q = 34 + 8q + -8q Combine like terms: -8q + -8q = -16q 100 + -16q = 34 + 8q + -8q Combine like terms: 8q + -8q = 0 100 + -16q = 34 + 0 100 + -16q = 34 Add '-100' to each side of the equation. 100 + -100 + -16q = 34 + -100 Combine like terms: 100 + -100 = 0 0 + -16q = 34 + -100 -16q = 34 + -100 Combine like terms: 34 + -100 = -66 -16q = -66 Divide each side by '-16'. q = 4.125 Simplifying q = 4.125
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