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Simplifying 0.06q + 14 = 0.3q + -5.2 Reorder the terms: 14 + 0.06q = 0.3q + -5.2 Reorder the terms: 14 + 0.06q = -5.2 + 0.3q Solving 14 + 0.06q = -5.2 + 0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.3q' to each side of the equation. 14 + 0.06q + -0.3q = -5.2 + 0.3q + -0.3q Combine like terms: 0.06q + -0.3q = -0.24q 14 + -0.24q = -5.2 + 0.3q + -0.3q Combine like terms: 0.3q + -0.3q = 0.0 14 + -0.24q = -5.2 + 0.0 14 + -0.24q = -5.2 Add '-14' to each side of the equation. 14 + -14 + -0.24q = -5.2 + -14 Combine like terms: 14 + -14 = 0 0 + -0.24q = -5.2 + -14 -0.24q = -5.2 + -14 Combine like terms: -5.2 + -14 = -19.2 -0.24q = -19.2 Divide each side by '-0.24'. q = 80 Simplifying q = 80
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