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Simplifying 2.3(4.2q + -3.8) = 5.8(6.2 + -3.1q) + 10.36 Reorder the terms: 2.3(-3.8 + 4.2q) = 5.8(6.2 + -3.1q) + 10.36 (-3.8 * 2.3 + 4.2q * 2.3) = 5.8(6.2 + -3.1q) + 10.36 (-8.74 + 9.66q) = 5.8(6.2 + -3.1q) + 10.36 -8.74 + 9.66q = (6.2 * 5.8 + -3.1q * 5.8) + 10.36 -8.74 + 9.66q = (35.96 + -17.98q) + 10.36 Reorder the terms: -8.74 + 9.66q = 35.96 + 10.36 + -17.98q Combine like terms: 35.96 + 10.36 = 46.32 -8.74 + 9.66q = 46.32 + -17.98q Solving -8.74 + 9.66q = 46.32 + -17.98q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '17.98q' to each side of the equation. -8.74 + 9.66q + 17.98q = 46.32 + -17.98q + 17.98q Combine like terms: 9.66q + 17.98q = 27.64q -8.74 + 27.64q = 46.32 + -17.98q + 17.98q Combine like terms: -17.98q + 17.98q = 0.00 -8.74 + 27.64q = 46.32 + 0.00 -8.74 + 27.64q = 46.32 Add '8.74' to each side of the equation. -8.74 + 8.74 + 27.64q = 46.32 + 8.74 Combine like terms: -8.74 + 8.74 = 0.00 0.00 + 27.64q = 46.32 + 8.74 27.64q = 46.32 + 8.74 Combine like terms: 46.32 + 8.74 = 55.06 27.64q = 55.06 Divide each side by '27.64'. q = 1.992040521 Simplifying q = 1.992040521
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