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Simplifying 4(-6p + 2) = 9p + 1 Reorder the terms: 4(2 + -6p) = 9p + 1 (2 * 4 + -6p * 4) = 9p + 1 (8 + -24p) = 9p + 1 Reorder the terms: 8 + -24p = 1 + 9p Solving 8 + -24p = 1 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 8 + -24p + -9p = 1 + 9p + -9p Combine like terms: -24p + -9p = -33p 8 + -33p = 1 + 9p + -9p Combine like terms: 9p + -9p = 0 8 + -33p = 1 + 0 8 + -33p = 1 Add '-8' to each side of the equation. 8 + -8 + -33p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -33p = 1 + -8 -33p = 1 + -8 Combine like terms: 1 + -8 = -7 -33p = -7 Divide each side by '-33'. p = 0.2121212121 Simplifying p = 0.2121212121
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