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Simplifying 7q + -1(4q) + 5 + -1(3) = 20 Remove parenthesis around (4q) 7q + -1 * 4q + 5 + -1(3) = 20 Multiply -1 * 4 7q + -4q + 5 + -1(3) = 20 Multiply -1 * 3 7q + -4q + 5 + -3 = 20 Reorder the terms: 5 + -3 + 7q + -4q = 20 Combine like terms: 5 + -3 = 2 2 + 7q + -4q = 20 Combine like terms: 7q + -4q = 3q 2 + 3q = 20 Solving 2 + 3q = 20 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3q = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = 20 + -2 3q = 20 + -2 Combine like terms: 20 + -2 = 18 3q = 18 Divide each side by '3'. q = 6 Simplifying q = 6
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