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Simplifying 51.84 = 6.4(5q + -7) Reorder the terms: 51.84 = 6.4(-7 + 5q) 51.84 = (-7 * 6.4 + 5q * 6.4) 51.84 = (-44.8 + 32q) Solving 51.84 = -44.8 + 32q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-32q' to each side of the equation. 51.84 + -32q = -44.8 + 32q + -32q Combine like terms: 32q + -32q = 0 51.84 + -32q = -44.8 + 0 51.84 + -32q = -44.8 Add '-51.84' to each side of the equation. 51.84 + -51.84 + -32q = -44.8 + -51.84 Combine like terms: 51.84 + -51.84 = 0.00 0.00 + -32q = -44.8 + -51.84 -32q = -44.8 + -51.84 Combine like terms: -44.8 + -51.84 = -96.64 -32q = -96.64 Divide each side by '-32'. q = 3.02 Simplifying q = 3.02
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