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Simplifying 4 + -1q = 2(3q + -5) Reorder the terms: 4 + -1q = 2(-5 + 3q) 4 + -1q = (-5 * 2 + 3q * 2) 4 + -1q = (-10 + 6q) Solving 4 + -1q = -10 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 4 + -1q + -6q = -10 + 6q + -6q Combine like terms: -1q + -6q = -7q 4 + -7q = -10 + 6q + -6q Combine like terms: 6q + -6q = 0 4 + -7q = -10 + 0 4 + -7q = -10 Add '-4' to each side of the equation. 4 + -4 + -7q = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7q = -10 + -4 -7q = -10 + -4 Combine like terms: -10 + -4 = -14 -7q = -14 Divide each side by '-7'. q = 2 Simplifying q = 2
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