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Simplifying 5q + -1(7q + 21) = 5 + -1(5q + -2) Reorder the terms: 5q + -1(21 + 7q) = 5 + -1(5q + -2) 5q + (21 * -1 + 7q * -1) = 5 + -1(5q + -2) 5q + (-21 + -7q) = 5 + -1(5q + -2) Reorder the terms: -21 + 5q + -7q = 5 + -1(5q + -2) Combine like terms: 5q + -7q = -2q -21 + -2q = 5 + -1(5q + -2) Reorder the terms: -21 + -2q = 5 + -1(-2 + 5q) -21 + -2q = 5 + (-2 * -1 + 5q * -1) -21 + -2q = 5 + (2 + -5q) Combine like terms: 5 + 2 = 7 -21 + -2q = 7 + -5q Solving -21 + -2q = 7 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -21 + -2q + 5q = 7 + -5q + 5q Combine like terms: -2q + 5q = 3q -21 + 3q = 7 + -5q + 5q Combine like terms: -5q + 5q = 0 -21 + 3q = 7 + 0 -21 + 3q = 7 Add '21' to each side of the equation. -21 + 21 + 3q = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 3q = 7 + 21 3q = 7 + 21 Combine like terms: 7 + 21 = 28 3q = 28 Divide each side by '3'. q = 9.333333333 Simplifying q = 9.333333333
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