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Simplifying 1 + 4(6p + -9) = 6p + -35 Reorder the terms: 1 + 4(-9 + 6p) = 6p + -35 1 + (-9 * 4 + 6p * 4) = 6p + -35 1 + (-36 + 24p) = 6p + -35 Combine like terms: 1 + -36 = -35 -35 + 24p = 6p + -35 Reorder the terms: -35 + 24p = -35 + 6p Add '35' to each side of the equation. -35 + 35 + 24p = -35 + 35 + 6p Combine like terms: -35 + 35 = 0 0 + 24p = -35 + 35 + 6p 24p = -35 + 35 + 6p Combine like terms: -35 + 35 = 0 24p = 0 + 6p 24p = 6p Solving 24p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 24p + -6p = 6p + -6p Combine like terms: 24p + -6p = 18p 18p = 6p + -6p Combine like terms: 6p + -6p = 0 18p = 0 Divide each side by '18'. p = 0 Simplifying p = 0
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