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Simplifying 0.2q + -7 + 2q = 3q + -5 Reorder the terms: -7 + 0.2q + 2q = 3q + -5 Combine like terms: 0.2q + 2q = 2.2q -7 + 2.2q = 3q + -5 Reorder the terms: -7 + 2.2q = -5 + 3q Solving -7 + 2.2q = -5 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -7 + 2.2q + -3q = -5 + 3q + -3q Combine like terms: 2.2q + -3q = -0.8q -7 + -0.8q = -5 + 3q + -3q Combine like terms: 3q + -3q = 0 -7 + -0.8q = -5 + 0 -7 + -0.8q = -5 Add '7' to each side of the equation. -7 + 7 + -0.8q = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -0.8q = -5 + 7 -0.8q = -5 + 7 Combine like terms: -5 + 7 = 2 -0.8q = 2 Divide each side by '-0.8'. q = -2.5 Simplifying q = -2.5
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