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Simplifying 3(2q + 55) = 21q Reorder the terms: 3(55 + 2q) = 21q (55 * 3 + 2q * 3) = 21q (165 + 6q) = 21q Solving 165 + 6q = 21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21q' to each side of the equation. 165 + 6q + -21q = 21q + -21q Combine like terms: 6q + -21q = -15q 165 + -15q = 21q + -21q Combine like terms: 21q + -21q = 0 165 + -15q = 0 Add '-165' to each side of the equation. 165 + -165 + -15q = 0 + -165 Combine like terms: 165 + -165 = 0 0 + -15q = 0 + -165 -15q = 0 + -165 Combine like terms: 0 + -165 = -165 -15q = -165 Divide each side by '-15'. q = 11 Simplifying q = 11
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