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Simplifying 20 + 4(-19q + 20) = 4(-14q + -20) Reorder the terms: 20 + 4(20 + -19q) = 4(-14q + -20) 20 + (20 * 4 + -19q * 4) = 4(-14q + -20) 20 + (80 + -76q) = 4(-14q + -20) Combine like terms: 20 + 80 = 100 100 + -76q = 4(-14q + -20) Reorder the terms: 100 + -76q = 4(-20 + -14q) 100 + -76q = (-20 * 4 + -14q * 4) 100 + -76q = (-80 + -56q) Solving 100 + -76q = -80 + -56q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '56q' to each side of the equation. 100 + -76q + 56q = -80 + -56q + 56q Combine like terms: -76q + 56q = -20q 100 + -20q = -80 + -56q + 56q Combine like terms: -56q + 56q = 0 100 + -20q = -80 + 0 100 + -20q = -80 Add '-100' to each side of the equation. 100 + -100 + -20q = -80 + -100 Combine like terms: 100 + -100 = 0 0 + -20q = -80 + -100 -20q = -80 + -100 Combine like terms: -80 + -100 = -180 -20q = -180 Divide each side by '-20'. q = 9 Simplifying q = 9
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