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Simplifying -2 = 7(9 + 2) + 3(2q + -1) Combine like terms: 9 + 2 = 11 -2 = 7(11) + 3(2q + -1) Multiply 7 * 11 -2 = 77 + 3(2q + -1) Reorder the terms: -2 = 77 + 3(-1 + 2q) -2 = 77 + (-1 * 3 + 2q * 3) -2 = 77 + (-3 + 6q) Combine like terms: 77 + -3 = 74 -2 = 74 + 6q Solving -2 = 74 + 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. -2 + -6q = 74 + 6q + -6q Combine like terms: 6q + -6q = 0 -2 + -6q = 74 + 0 -2 + -6q = 74 Add '2' to each side of the equation. -2 + 2 + -6q = 74 + 2 Combine like terms: -2 + 2 = 0 0 + -6q = 74 + 2 -6q = 74 + 2 Combine like terms: 74 + 2 = 76 -6q = 76 Divide each side by '-6'. q = -12.66666667 Simplifying q = -12.66666667
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