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Simplifying 6 + 4q = 12q + -7 Reorder the terms: 6 + 4q = -7 + 12q Solving 6 + 4q = -7 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 6 + 4q + -12q = -7 + 12q + -12q Combine like terms: 4q + -12q = -8q 6 + -8q = -7 + 12q + -12q Combine like terms: 12q + -12q = 0 6 + -8q = -7 + 0 6 + -8q = -7 Add '-6' to each side of the equation. 6 + -6 + -8q = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -8q = -7 + -6 -8q = -7 + -6 Combine like terms: -7 + -6 = -13 -8q = -13 Divide each side by '-8'. q = 1.625 Simplifying q = 1.625
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