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Simplifying 3 + 10q = 8q + 12q + -4 Reorder the terms: 3 + 10q = -4 + 8q + 12q Combine like terms: 8q + 12q = 20q 3 + 10q = -4 + 20q Solving 3 + 10q = -4 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 3 + 10q + -20q = -4 + 20q + -20q Combine like terms: 10q + -20q = -10q 3 + -10q = -4 + 20q + -20q Combine like terms: 20q + -20q = 0 3 + -10q = -4 + 0 3 + -10q = -4 Add '-3' to each side of the equation. 3 + -3 + -10q = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -10q = -4 + -3 -10q = -4 + -3 Combine like terms: -4 + -3 = -7 -10q = -7 Divide each side by '-10'. q = 0.7 Simplifying q = 0.7
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