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Simplifying 8 = 4(3 + 10q) + -2q 8 = (3 * 4 + 10q * 4) + -2q 8 = (12 + 40q) + -2q Combine like terms: 40q + -2q = 38q 8 = 12 + 38q Solving 8 = 12 + 38q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-38q' to each side of the equation. 8 + -38q = 12 + 38q + -38q Combine like terms: 38q + -38q = 0 8 + -38q = 12 + 0 8 + -38q = 12 Add '-8' to each side of the equation. 8 + -8 + -38q = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -38q = 12 + -8 -38q = 12 + -8 Combine like terms: 12 + -8 = 4 -38q = 4 Divide each side by '-38'. q = -0.1052631579 Simplifying q = -0.1052631579
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