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Simplifying 3 + -1(q + 7) = 3(2q + 1) Reorder the terms: 3 + -1(7 + q) = 3(2q + 1) 3 + (7 * -1 + q * -1) = 3(2q + 1) 3 + (-7 + -1q) = 3(2q + 1) Combine like terms: 3 + -7 = -4 -4 + -1q = 3(2q + 1) Reorder the terms: -4 + -1q = 3(1 + 2q) -4 + -1q = (1 * 3 + 2q * 3) -4 + -1q = (3 + 6q) Solving -4 + -1q = 3 + 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. -4 + -1q + -6q = 3 + 6q + -6q Combine like terms: -1q + -6q = -7q -4 + -7q = 3 + 6q + -6q Combine like terms: 6q + -6q = 0 -4 + -7q = 3 + 0 -4 + -7q = 3 Add '4' to each side of the equation. -4 + 4 + -7q = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -7q = 3 + 4 -7q = 3 + 4 Combine like terms: 3 + 4 = 7 -7q = 7 Divide each side by '-7'. q = -1 Simplifying q = -1
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