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Simplifying 3Q + 4Q + -5 = 6Q + 7 Reorder the terms: -5 + 3Q + 4Q = 6Q + 7 Combine like terms: 3Q + 4Q = 7Q -5 + 7Q = 6Q + 7 Reorder the terms: -5 + 7Q = 7 + 6Q Solving -5 + 7Q = 7 + 6Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-6Q' to each side of the equation. -5 + 7Q + -6Q = 7 + 6Q + -6Q Combine like terms: 7Q + -6Q = 1Q -5 + 1Q = 7 + 6Q + -6Q Combine like terms: 6Q + -6Q = 0 -5 + 1Q = 7 + 0 -5 + 1Q = 7 Add '5' to each side of the equation. -5 + 5 + 1Q = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1Q = 7 + 5 1Q = 7 + 5 Combine like terms: 7 + 5 = 12 1Q = 12 Divide each side by '1'. Q = 12 Simplifying Q = 12
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