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Simplifying 5(p + 6) + -5(6 + -3p) = 4p + -7p Reorder the terms: 5(6 + p) + -5(6 + -3p) = 4p + -7p (6 * 5 + p * 5) + -5(6 + -3p) = 4p + -7p (30 + 5p) + -5(6 + -3p) = 4p + -7p 30 + 5p + (6 * -5 + -3p * -5) = 4p + -7p 30 + 5p + (-30 + 15p) = 4p + -7p Reorder the terms: 30 + -30 + 5p + 15p = 4p + -7p Combine like terms: 30 + -30 = 0 0 + 5p + 15p = 4p + -7p 5p + 15p = 4p + -7p Combine like terms: 5p + 15p = 20p 20p = 4p + -7p Combine like terms: 4p + -7p = -3p 20p = -3p Solving 20p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 20p + 3p = -3p + 3p Combine like terms: 20p + 3p = 23p 23p = -3p + 3p Combine like terms: -3p + 3p = 0 23p = 0 Divide each side by '23'. p = 0 Simplifying p = 0
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