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Simplifying (-2)(15 + -1q) + 8 = 20q + 20 (15 * -2 + -1q * -2) + 8 = 20q + 20 (-30 + 2q) + 8 = 20q + 20 Reorder the terms: -30 + 8 + 2q = 20q + 20 Combine like terms: -30 + 8 = -22 -22 + 2q = 20q + 20 Reorder the terms: -22 + 2q = 20 + 20q Solving -22 + 2q = 20 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. -22 + 2q + -20q = 20 + 20q + -20q Combine like terms: 2q + -20q = -18q -22 + -18q = 20 + 20q + -20q Combine like terms: 20q + -20q = 0 -22 + -18q = 20 + 0 -22 + -18q = 20 Add '22' to each side of the equation. -22 + 22 + -18q = 20 + 22 Combine like terms: -22 + 22 = 0 0 + -18q = 20 + 22 -18q = 20 + 22 Combine like terms: 20 + 22 = 42 -18q = 42 Divide each side by '-18'. q = -2.333333333 Simplifying q = -2.333333333
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