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Simplifying 8 = 20q + -1(10q + -4) Reorder the terms: 8 = 20q + -1(-4 + 10q) 8 = 20q + (-4 * -1 + 10q * -1) 8 = 20q + (4 + -10q) Reorder the terms: 8 = 4 + 20q + -10q Combine like terms: 20q + -10q = 10q 8 = 4 + 10q Solving 8 = 4 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 8 + -10q = 4 + 10q + -10q Combine like terms: 10q + -10q = 0 8 + -10q = 4 + 0 8 + -10q = 4 Add '-8' to each side of the equation. 8 + -8 + -10q = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -10q = 4 + -8 -10q = 4 + -8 Combine like terms: 4 + -8 = -4 -10q = -4 Divide each side by '-10'. q = 0.4 Simplifying q = 0.4
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