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Simplifying 4q + -8 + 9 + -5(q + 7) = 10 Reorder the terms: 4q + -8 + 9 + -5(7 + q) = 10 4q + -8 + 9 + (7 * -5 + q * -5) = 10 4q + -8 + 9 + (-35 + -5q) = 10 Reorder the terms: -8 + 9 + -35 + 4q + -5q = 10 Combine like terms: -8 + 9 = 1 1 + -35 + 4q + -5q = 10 Combine like terms: 1 + -35 = -34 -34 + 4q + -5q = 10 Combine like terms: 4q + -5q = -1q -34 + -1q = 10 Solving -34 + -1q = 10 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -1q = 10 + 34 Combine like terms: -34 + 34 = 0 0 + -1q = 10 + 34 -1q = 10 + 34 Combine like terms: 10 + 34 = 44 -1q = 44 Divide each side by '-1'. q = -44 Simplifying q = -44
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