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Simplifying 4p + 24 = 5(7p + 6) + -6 Reorder the terms: 24 + 4p = 5(7p + 6) + -6 Reorder the terms: 24 + 4p = 5(6 + 7p) + -6 24 + 4p = (6 * 5 + 7p * 5) + -6 24 + 4p = (30 + 35p) + -6 Reorder the terms: 24 + 4p = 30 + -6 + 35p Combine like terms: 30 + -6 = 24 24 + 4p = 24 + 35p Add '-24' to each side of the equation. 24 + -24 + 4p = 24 + -24 + 35p Combine like terms: 24 + -24 = 0 0 + 4p = 24 + -24 + 35p 4p = 24 + -24 + 35p Combine like terms: 24 + -24 = 0 4p = 0 + 35p 4p = 35p Solving 4p = 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 4p + -35p = 35p + -35p Combine like terms: 4p + -35p = -31p -31p = 35p + -35p Combine like terms: 35p + -35p = 0 -31p = 0 Divide each side by '-31'. p = 0 Simplifying p = 0
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