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Simplifying 15p + 5 = 35(p + -9) Reorder the terms: 5 + 15p = 35(p + -9) Reorder the terms: 5 + 15p = 35(-9 + p) 5 + 15p = (-9 * 35 + p * 35) 5 + 15p = (-315 + 35p) Solving 5 + 15p = -315 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 5 + 15p + -35p = -315 + 35p + -35p Combine like terms: 15p + -35p = -20p 5 + -20p = -315 + 35p + -35p Combine like terms: 35p + -35p = 0 5 + -20p = -315 + 0 5 + -20p = -315 Add '-5' to each side of the equation. 5 + -5 + -20p = -315 + -5 Combine like terms: 5 + -5 = 0 0 + -20p = -315 + -5 -20p = -315 + -5 Combine like terms: -315 + -5 = -320 -20p = -320 Divide each side by '-20'. p = 16 Simplifying p = 16
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