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Simplifying 5p + -5(-6 + -6p) = -6p + 30 5p + (-6 * -5 + -6p * -5) = -6p + 30 5p + (30 + 30p) = -6p + 30 Reorder the terms: 30 + 5p + 30p = -6p + 30 Combine like terms: 5p + 30p = 35p 30 + 35p = -6p + 30 Reorder the terms: 30 + 35p = 30 + -6p Add '-30' to each side of the equation. 30 + -30 + 35p = 30 + -30 + -6p Combine like terms: 30 + -30 = 0 0 + 35p = 30 + -30 + -6p 35p = 30 + -30 + -6p Combine like terms: 30 + -30 = 0 35p = 0 + -6p 35p = -6p Solving 35p = -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. 35p + 6p = -6p + 6p Combine like terms: 35p + 6p = 41p 41p = -6p + 6p Combine like terms: -6p + 6p = 0 41p = 0 Divide each side by '41'. p = 0 Simplifying p = 0
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