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Simplifying 9 + -2(8q + -1) = 4(q + -4) Reorder the terms: 9 + -2(-1 + 8q) = 4(q + -4) 9 + (-1 * -2 + 8q * -2) = 4(q + -4) 9 + (2 + -16q) = 4(q + -4) Combine like terms: 9 + 2 = 11 11 + -16q = 4(q + -4) Reorder the terms: 11 + -16q = 4(-4 + q) 11 + -16q = (-4 * 4 + q * 4) 11 + -16q = (-16 + 4q) Solving 11 + -16q = -16 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 11 + -16q + -4q = -16 + 4q + -4q Combine like terms: -16q + -4q = -20q 11 + -20q = -16 + 4q + -4q Combine like terms: 4q + -4q = 0 11 + -20q = -16 + 0 11 + -20q = -16 Add '-11' to each side of the equation. 11 + -11 + -20q = -16 + -11 Combine like terms: 11 + -11 = 0 0 + -20q = -16 + -11 -20q = -16 + -11 Combine like terms: -16 + -11 = -27 -20q = -27 Divide each side by '-20'. q = 1.35 Simplifying q = 1.35
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