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Simplifying 2q + (1 + -1q) = q + 4(1 + -1q) Remove parenthesis around (1 + -1q) 2q + 1 + -1q = q + 4(1 + -1q) Reorder the terms: 1 + 2q + -1q = q + 4(1 + -1q) Combine like terms: 2q + -1q = 1q 1 + 1q = q + 4(1 + -1q) 1 + 1q = q + (1 * 4 + -1q * 4) 1 + 1q = q + (4 + -4q) Reorder the terms: 1 + 1q = 4 + q + -4q Combine like terms: q + -4q = -3q 1 + 1q = 4 + -3q Solving 1 + 1q = 4 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 1 + 1q + 3q = 4 + -3q + 3q Combine like terms: 1q + 3q = 4q 1 + 4q = 4 + -3q + 3q Combine like terms: -3q + 3q = 0 1 + 4q = 4 + 0 1 + 4q = 4 Add '-1' to each side of the equation. 1 + -1 + 4q = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 4q = 4 + -1 4q = 4 + -1 Combine like terms: 4 + -1 = 3 4q = 3 Divide each side by '4'. q = 0.75 Simplifying q = 0.75
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