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Simplifying 1.8q + -1(5.6) + -1(2.8q) = -2.0q + -1(5.3) Multiply -1 * 5.6 1.8q + -5.6 + -1(2.8q) = -2.0q + -1(5.3) Remove parenthesis around (2.8q) 1.8q + -5.6 + -1 * 2.8q = -2.0q + -1(5.3) Multiply -1 * 2.8 1.8q + -5.6 + -2.8q = -2.0q + -1(5.3) Reorder the terms: -5.6 + 1.8q + -2.8q = -2.0q + -1(5.3) Combine like terms: 1.8q + -2.8q = -1q -5.6 + -1q = -2.0q + -1(5.3) Multiply -1 * 5.3 -5.6 + -1q = -2.0q + -5.3 Reorder the terms: -5.6 + -1q = -5.3 + -2.0q Solving -5.6 + -1q = -5.3 + -2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.0q' to each side of the equation. -5.6 + -1q + 2.0q = -5.3 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -5.6 + 1q = -5.3 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -5.6 + 1q = -5.3 + 0.0 -5.6 + 1q = -5.3 Add '5.6' to each side of the equation. -5.6 + 5.6 + 1q = -5.3 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1q = -5.3 + 5.6 1q = -5.3 + 5.6 Combine like terms: -5.3 + 5.6 = 0.3 1q = 0.3 Divide each side by '1'. q = 0.3 Simplifying q = 0.3
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