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Simplifying 20 + 5(4q + -100) = 3q + 30 Reorder the terms: 20 + 5(-100 + 4q) = 3q + 30 20 + (-100 * 5 + 4q * 5) = 3q + 30 20 + (-500 + 20q) = 3q + 30 Combine like terms: 20 + -500 = -480 -480 + 20q = 3q + 30 Reorder the terms: -480 + 20q = 30 + 3q Solving -480 + 20q = 30 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -480 + 20q + -3q = 30 + 3q + -3q Combine like terms: 20q + -3q = 17q -480 + 17q = 30 + 3q + -3q Combine like terms: 3q + -3q = 0 -480 + 17q = 30 + 0 -480 + 17q = 30 Add '480' to each side of the equation. -480 + 480 + 17q = 30 + 480 Combine like terms: -480 + 480 = 0 0 + 17q = 30 + 480 17q = 30 + 480 Combine like terms: 30 + 480 = 510 17q = 510 Divide each side by '17'. q = 30 Simplifying q = 30
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