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Simplifying 3(2q + -7) + -1(3q + -8) + 22 = 0 Reorder the terms: 3(-7 + 2q) + -1(3q + -8) + 22 = 0 (-7 * 3 + 2q * 3) + -1(3q + -8) + 22 = 0 (-21 + 6q) + -1(3q + -8) + 22 = 0 Reorder the terms: -21 + 6q + -1(-8 + 3q) + 22 = 0 -21 + 6q + (-8 * -1 + 3q * -1) + 22 = 0 -21 + 6q + (8 + -3q) + 22 = 0 Reorder the terms: -21 + 8 + 22 + 6q + -3q = 0 Combine like terms: -21 + 8 = -13 -13 + 22 + 6q + -3q = 0 Combine like terms: -13 + 22 = 9 9 + 6q + -3q = 0 Combine like terms: 6q + -3q = 3q 9 + 3q = 0 Solving 9 + 3q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3q = 0 + -9 3q = 0 + -9 Combine like terms: 0 + -9 = -9 3q = -9 Divide each side by '3'. q = -3 Simplifying q = -3
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