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Simplifying 35(q + -5) = 2(q + 5) Reorder the terms: 35(-5 + q) = 2(q + 5) (-5 * 35 + q * 35) = 2(q + 5) (-175 + 35q) = 2(q + 5) Reorder the terms: -175 + 35q = 2(5 + q) -175 + 35q = (5 * 2 + q * 2) -175 + 35q = (10 + 2q) Solving -175 + 35q = 10 + 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. -175 + 35q + -2q = 10 + 2q + -2q Combine like terms: 35q + -2q = 33q -175 + 33q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -175 + 33q = 10 + 0 -175 + 33q = 10 Add '175' to each side of the equation. -175 + 175 + 33q = 10 + 175 Combine like terms: -175 + 175 = 0 0 + 33q = 10 + 175 33q = 10 + 175 Combine like terms: 10 + 175 = 185 33q = 185 Divide each side by '33'. q = 5.606060606 Simplifying q = 5.606060606
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