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Simplifying 4p + -1(p + -15) = 6(10 + -1p) + 4p Reorder the terms: 4p + -1(-15 + p) = 6(10 + -1p) + 4p 4p + (-15 * -1 + p * -1) = 6(10 + -1p) + 4p 4p + (15 + -1p) = 6(10 + -1p) + 4p Reorder the terms: 15 + 4p + -1p = 6(10 + -1p) + 4p Combine like terms: 4p + -1p = 3p 15 + 3p = 6(10 + -1p) + 4p 15 + 3p = (10 * 6 + -1p * 6) + 4p 15 + 3p = (60 + -6p) + 4p Combine like terms: -6p + 4p = -2p 15 + 3p = 60 + -2p Solving 15 + 3p = 60 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 15 + 3p + 2p = 60 + -2p + 2p Combine like terms: 3p + 2p = 5p 15 + 5p = 60 + -2p + 2p Combine like terms: -2p + 2p = 0 15 + 5p = 60 + 0 15 + 5p = 60 Add '-15' to each side of the equation. 15 + -15 + 5p = 60 + -15 Combine like terms: 15 + -15 = 0 0 + 5p = 60 + -15 5p = 60 + -15 Combine like terms: 60 + -15 = 45 5p = 45 Divide each side by '5'. p = 9 Simplifying p = 9
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