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Simplifying 6 = 15 + 4(q + -5) Reorder the terms: 6 = 15 + 4(-5 + q) 6 = 15 + (-5 * 4 + q * 4) 6 = 15 + (-20 + 4q) Combine like terms: 15 + -20 = -5 6 = -5 + 4q Solving 6 = -5 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 6 + -4q = -5 + 4q + -4q Combine like terms: 4q + -4q = 0 6 + -4q = -5 + 0 6 + -4q = -5 Add '-6' to each side of the equation. 6 + -6 + -4q = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -4q = -5 + -6 -4q = -5 + -6 Combine like terms: -5 + -6 = -11 -4q = -11 Divide each side by '-4'. q = 2.75 Simplifying q = 2.75
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