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Simplifying 5(-8p + 20) + 18 = -19p + -18 + -13p Reorder the terms: 5(20 + -8p) + 18 = -19p + -18 + -13p (20 * 5 + -8p * 5) + 18 = -19p + -18 + -13p (100 + -40p) + 18 = -19p + -18 + -13p Reorder the terms: 100 + 18 + -40p = -19p + -18 + -13p Combine like terms: 100 + 18 = 118 118 + -40p = -19p + -18 + -13p Reorder the terms: 118 + -40p = -18 + -19p + -13p Combine like terms: -19p + -13p = -32p 118 + -40p = -18 + -32p Solving 118 + -40p = -18 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 118 + -40p + 32p = -18 + -32p + 32p Combine like terms: -40p + 32p = -8p 118 + -8p = -18 + -32p + 32p Combine like terms: -32p + 32p = 0 118 + -8p = -18 + 0 118 + -8p = -18 Add '-118' to each side of the equation. 118 + -118 + -8p = -18 + -118 Combine like terms: 118 + -118 = 0 0 + -8p = -18 + -118 -8p = -18 + -118 Combine like terms: -18 + -118 = -136 -8p = -136 Divide each side by '-8'. p = 17 Simplifying p = 17
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