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Simplifying 4(q + 3) + -5u = p + 7 Reorder the terms: 4(3 + q) + -5u = p + 7 (3 * 4 + q * 4) + -5u = p + 7 (12 + 4q) + -5u = p + 7 Reorder the terms: 12 + 4q + -5u = 7 + p Solving 12 + 4q + -5u = 7 + p Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4q + -12 + -5u = 7 + -12 + p Reorder the terms: 12 + -12 + 4q + -5u = 7 + -12 + p Combine like terms: 12 + -12 = 0 0 + 4q + -5u = 7 + -12 + p 4q + -5u = 7 + -12 + p Combine like terms: 7 + -12 = -5 4q + -5u = -5 + p Add '5u' to each side of the equation. 4q + -5u + 5u = -5 + p + 5u Combine like terms: -5u + 5u = 0 4q + 0 = -5 + p + 5u 4q = -5 + p + 5u Divide each side by '4'. q = -1.25 + 0.25p + 1.25u Simplifying q = -1.25 + 0.25p + 1.25u
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