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Simplifying 3(q + -10) + 2(q + -22) = 6 Reorder the terms: 3(-10 + q) + 2(q + -22) = 6 (-10 * 3 + q * 3) + 2(q + -22) = 6 (-30 + 3q) + 2(q + -22) = 6 Reorder the terms: -30 + 3q + 2(-22 + q) = 6 -30 + 3q + (-22 * 2 + q * 2) = 6 -30 + 3q + (-44 + 2q) = 6 Reorder the terms: -30 + -44 + 3q + 2q = 6 Combine like terms: -30 + -44 = -74 -74 + 3q + 2q = 6 Combine like terms: 3q + 2q = 5q -74 + 5q = 6 Solving -74 + 5q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 5q = 6 + 74 Combine like terms: -74 + 74 = 0 0 + 5q = 6 + 74 5q = 6 + 74 Combine like terms: 6 + 74 = 80 5q = 80 Divide each side by '5'. q = 16 Simplifying q = 16
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