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Simplifying 4(p + 9) = 10p Reorder the terms: 4(9 + p) = 10p (9 * 4 + p * 4) = 10p (36 + 4p) = 10p Solving 36 + 4p = 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 36 + 4p + -10p = 10p + -10p Combine like terms: 4p + -10p = -6p 36 + -6p = 10p + -10p Combine like terms: 10p + -10p = 0 36 + -6p = 0 Add '-36' to each side of the equation. 36 + -36 + -6p = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -6p = 0 + -36 -6p = 0 + -36 Combine like terms: 0 + -36 = -36 -6p = -36 Divide each side by '-6'. p = 6 Simplifying p = 6
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