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Simplifying 17 + -6(q) = 47 + 10(q) Solving 17 + -6q = 47 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 17 + -6q + -10q = 47 + 10q + -10q Combine like terms: -6q + -10q = -16q 17 + -16q = 47 + 10q + -10q Combine like terms: 10q + -10q = 0 17 + -16q = 47 + 0 17 + -16q = 47 Add '-17' to each side of the equation. 17 + -17 + -16q = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -16q = 47 + -17 -16q = 47 + -17 Combine like terms: 47 + -17 = 30 -16q = 30 Divide each side by '-16'. q = -1.875 Simplifying q = -1.875
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