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Simplifying 10(2.1q + -2) + (7.5q + 18) = 0 Reorder the terms: 10(-2 + 2.1q) + (7.5q + 18) = 0 (-2 * 10 + 2.1q * 10) + (7.5q + 18) = 0 (-20 + 21q) + (7.5q + 18) = 0 Reorder the terms: -20 + 21q + (18 + 7.5q) = 0 Remove parenthesis around (18 + 7.5q) -20 + 21q + 18 + 7.5q = 0 Reorder the terms: -20 + 18 + 21q + 7.5q = 0 Combine like terms: -20 + 18 = -2 -2 + 21q + 7.5q = 0 Combine like terms: 21q + 7.5q = 28.5q -2 + 28.5q = 0 Solving -2 + 28.5q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 28.5q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 28.5q = 0 + 2 28.5q = 0 + 2 Combine like terms: 0 + 2 = 2 28.5q = 2 Divide each side by '28.5'. q = 0.0701754386 Simplifying q = 0.0701754386
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