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Simplifying 9.2(8q + -1) = 4(q + -4) Reorder the terms: 9.2(-1 + 8q) = 4(q + -4) (-1 * 9.2 + 8q * 9.2) = 4(q + -4) (-9.2 + 73.6q) = 4(q + -4) Reorder the terms: -9.2 + 73.6q = 4(-4 + q) -9.2 + 73.6q = (-4 * 4 + q * 4) -9.2 + 73.6q = (-16 + 4q) Solving -9.2 + 73.6q = -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. -9.2 + 73.6q + -4q = -16 + 4q + -4q Combine like terms: 73.6q + -4q = 69.6q -9.2 + 69.6q = -16 + 4q + -4q Combine like terms: 4q + -4q = 0 -9.2 + 69.6q = -16 + 0 -9.2 + 69.6q = -16 Add '9.2' to each side of the equation. -9.2 + 9.2 + 69.6q = -16 + 9.2 Combine like terms: -9.2 + 9.2 = 0.0 0.0 + 69.6q = -16 + 9.2 69.6q = -16 + 9.2 Combine like terms: -16 + 9.2 = -6.8 69.6q = -6.8 Divide each side by '69.6'. q = -0.09770114943 Simplifying q = -0.09770114943
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