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Simplifying 0.8q + 9 = 8(0.6q + -2) Reorder the terms: 9 + 0.8q = 8(0.6q + -2) Reorder the terms: 9 + 0.8q = 8(-2 + 0.6q) 9 + 0.8q = (-2 * 8 + 0.6q * 8) 9 + 0.8q = (-16 + 4.8q) Solving 9 + 0.8q = -16 + 4.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.8q' to each side of the equation. 9 + 0.8q + -4.8q = -16 + 4.8q + -4.8q Combine like terms: 0.8q + -4.8q = -4q 9 + -4q = -16 + 4.8q + -4.8q Combine like terms: 4.8q + -4.8q = 0.0 9 + -4q = -16 + 0.0 9 + -4q = -16 Add '-9' to each side of the equation. 9 + -9 + -4q = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -4q = -16 + -9 -4q = -16 + -9 Combine like terms: -16 + -9 = -25 -4q = -25 Divide each side by '-4'. q = 6.25 Simplifying q = 6.25
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