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Simplifying 4(7p + 1) = 6(6 + 6p) Reorder the terms: 4(1 + 7p) = 6(6 + 6p) (1 * 4 + 7p * 4) = 6(6 + 6p) (4 + 28p) = 6(6 + 6p) 4 + 28p = (6 * 6 + 6p * 6) 4 + 28p = (36 + 36p) Solving 4 + 28p = 36 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 4 + 28p + -36p = 36 + 36p + -36p Combine like terms: 28p + -36p = -8p 4 + -8p = 36 + 36p + -36p Combine like terms: 36p + -36p = 0 4 + -8p = 36 + 0 4 + -8p = 36 Add '-4' to each side of the equation. 4 + -4 + -8p = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -8p = 36 + -4 -8p = 36 + -4 Combine like terms: 36 + -4 = 32 -8p = 32 Divide each side by '-8'. p = -4 Simplifying p = -4
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