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Simplifying 5.4q + -1.2 + -5.8 = -1.4q + -3.6 Reorder the terms: -1.2 + -5.8 + 5.4q = -1.4q + -3.6 Combine like terms: -1.2 + -5.8 = -7 -7 + 5.4q = -1.4q + -3.6 Reorder the terms: -7 + 5.4q = -3.6 + -1.4q Solving -7 + 5.4q = -3.6 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. -7 + 5.4q + 1.4q = -3.6 + -1.4q + 1.4q Combine like terms: 5.4q + 1.4q = 6.8q -7 + 6.8q = -3.6 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 -7 + 6.8q = -3.6 + 0.0 -7 + 6.8q = -3.6 Add '7' to each side of the equation. -7 + 7 + 6.8q = -3.6 + 7 Combine like terms: -7 + 7 = 0 0 + 6.8q = -3.6 + 7 6.8q = -3.6 + 7 Combine like terms: -3.6 + 7 = 3.4 6.8q = 3.4 Divide each side by '6.8'. q = 0.5 Simplifying q = 0.5
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