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Simplifying 12q + -7 = -3q + 8 Reorder the terms: -7 + 12q = -3q + 8 Reorder the terms: -7 + 12q = 8 + -3q Solving -7 + 12q = 8 + -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. -7 + 12q + 3q = 8 + -3q + 3q Combine like terms: 12q + 3q = 15q -7 + 15q = 8 + -3q + 3q Combine like terms: -3q + 3q = 0 -7 + 15q = 8 + 0 -7 + 15q = 8 Add '7' to each side of the equation. -7 + 7 + 15q = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15q = 8 + 7 15q = 8 + 7 Combine like terms: 8 + 7 = 15 15q = 15 Divide each side by '15'. q = 1 Simplifying q = 1
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