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Simplifying -20 + 2(11q + -17) = 20q + -2q + 18 Reorder the terms: -20 + 2(-17 + 11q) = 20q + -2q + 18 -20 + (-17 * 2 + 11q * 2) = 20q + -2q + 18 -20 + (-34 + 22q) = 20q + -2q + 18 Combine like terms: -20 + -34 = -54 -54 + 22q = 20q + -2q + 18 Reorder the terms: -54 + 22q = 18 + 20q + -2q Combine like terms: 20q + -2q = 18q -54 + 22q = 18 + 18q Solving -54 + 22q = 18 + 18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18q' to each side of the equation. -54 + 22q + -18q = 18 + 18q + -18q Combine like terms: 22q + -18q = 4q -54 + 4q = 18 + 18q + -18q Combine like terms: 18q + -18q = 0 -54 + 4q = 18 + 0 -54 + 4q = 18 Add '54' to each side of the equation. -54 + 54 + 4q = 18 + 54 Combine like terms: -54 + 54 = 0 0 + 4q = 18 + 54 4q = 18 + 54 Combine like terms: 18 + 54 = 72 4q = 72 Divide each side by '4'. q = 18 Simplifying q = 18
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