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Simplifying 5p + 10(17 + -1p) = 2p + -5 5p + (17 * 10 + -1p * 10) = 2p + -5 5p + (170 + -10p) = 2p + -5 Reorder the terms: 170 + 5p + -10p = 2p + -5 Combine like terms: 5p + -10p = -5p 170 + -5p = 2p + -5 Reorder the terms: 170 + -5p = -5 + 2p Solving 170 + -5p = -5 + 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. 170 + -5p + -2p = -5 + 2p + -2p Combine like terms: -5p + -2p = -7p 170 + -7p = -5 + 2p + -2p Combine like terms: 2p + -2p = 0 170 + -7p = -5 + 0 170 + -7p = -5 Add '-170' to each side of the equation. 170 + -170 + -7p = -5 + -170 Combine like terms: 170 + -170 = 0 0 + -7p = -5 + -170 -7p = -5 + -170 Combine like terms: -5 + -170 = -175 -7p = -175 Divide each side by '-7'. p = 25 Simplifying p = 25
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