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Simplifying 4(4q + -2q) + 1 = 2q Combine like terms: 4q + -2q = 2q 4(2q) + 1 = 2q Remove parenthesis around (2q) 4 * 2q + 1 = 2q Multiply 4 * 2 8q + 1 = 2q Reorder the terms: 1 + 8q = 2q Solving 1 + 8q = 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 1 + 8q + -2q = 2q + -2q Combine like terms: 8q + -2q = 6q 1 + 6q = 2q + -2q Combine like terms: 2q + -2q = 0 1 + 6q = 0 Add '-1' to each side of the equation. 1 + -1 + 6q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6q = 0 + -1 6q = 0 + -1 Combine like terms: 0 + -1 = -1 6q = -1 Divide each side by '6'. q = -0.1666666667 Simplifying q = -0.1666666667
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