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Simplifying 212 + 1 = -3(2q + -1) + 4(2q + 1) Combine like terms: 212 + 1 = 213 213 = -3(2q + -1) + 4(2q + 1) Reorder the terms: 213 = -3(-1 + 2q) + 4(2q + 1) 213 = (-1 * -3 + 2q * -3) + 4(2q + 1) 213 = (3 + -6q) + 4(2q + 1) Reorder the terms: 213 = 3 + -6q + 4(1 + 2q) 213 = 3 + -6q + (1 * 4 + 2q * 4) 213 = 3 + -6q + (4 + 8q) Reorder the terms: 213 = 3 + 4 + -6q + 8q Combine like terms: 3 + 4 = 7 213 = 7 + -6q + 8q Combine like terms: -6q + 8q = 2q 213 = 7 + 2q Solving 213 = 7 + 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. 213 + -2q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 213 + -2q = 7 + 0 213 + -2q = 7 Add '-213' to each side of the equation. 213 + -213 + -2q = 7 + -213 Combine like terms: 213 + -213 = 0 0 + -2q = 7 + -213 -2q = 7 + -213 Combine like terms: 7 + -213 = -206 -2q = -206 Divide each side by '-2'. q = 103 Simplifying q = 103
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