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Simplifying q + -1(4q + -7) = 5q + -1(q + 21) Reorder the terms: q + -1(-7 + 4q) = 5q + -1(q + 21) q + (-7 * -1 + 4q * -1) = 5q + -1(q + 21) q + (7 + -4q) = 5q + -1(q + 21) Reorder the terms: 7 + q + -4q = 5q + -1(q + 21) Combine like terms: q + -4q = -3q 7 + -3q = 5q + -1(q + 21) Reorder the terms: 7 + -3q = 5q + -1(21 + q) 7 + -3q = 5q + (21 * -1 + q * -1) 7 + -3q = 5q + (-21 + -1q) Reorder the terms: 7 + -3q = -21 + 5q + -1q Combine like terms: 5q + -1q = 4q 7 + -3q = -21 + 4q Solving 7 + -3q = -21 + 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. 7 + -3q + -4q = -21 + 4q + -4q Combine like terms: -3q + -4q = -7q 7 + -7q = -21 + 4q + -4q Combine like terms: 4q + -4q = 0 7 + -7q = -21 + 0 7 + -7q = -21 Add '-7' to each side of the equation. 7 + -7 + -7q = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7q = -21 + -7 -7q = -21 + -7 Combine like terms: -21 + -7 = -28 -7q = -28 Divide each side by '-7'. q = 4 Simplifying q = 4
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