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