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Simplifying 5.25q + -2(3q + 1.25) = q + 1 Reorder the terms: 5.25q + -2(1.25 + 3q) = q + 1 5.25q + (1.25 * -2 + 3q * -2) = q + 1 5.25q + (-2.5 + -6q) = q + 1 Reorder the terms: -2.5 + 5.25q + -6q = q + 1 Combine like terms: 5.25q + -6q = -0.75q -2.5 + -0.75q = q + 1 Reorder the terms: -2.5 + -0.75q = 1 + q Solving -2.5 + -0.75q = 1 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -2.5 + -0.75q + -1q = 1 + q + -1q Combine like terms: -0.75q + -1q = -1.75q -2.5 + -1.75q = 1 + q + -1q Combine like terms: q + -1q = 0 -2.5 + -1.75q = 1 + 0 -2.5 + -1.75q = 1 Add '2.5' to each side of the equation. -2.5 + 2.5 + -1.75q = 1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1.75q = 1 + 2.5 -1.75q = 1 + 2.5 Combine like terms: 1 + 2.5 = 3.5 -1.75q = 3.5 Divide each side by '-1.75'. q = -2 Simplifying q = -2
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