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Simplifying 34(p + 1) = 35(p + -2) Reorder the terms: 34(1 + p) = 35(p + -2) (1 * 34 + p * 34) = 35(p + -2) (34 + 34p) = 35(p + -2) Reorder the terms: 34 + 34p = 35(-2 + p) 34 + 34p = (-2 * 35 + p * 35) 34 + 34p = (-70 + 35p) Solving 34 + 34p = -70 + 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. 34 + 34p + -35p = -70 + 35p + -35p Combine like terms: 34p + -35p = -1p 34 + -1p = -70 + 35p + -35p Combine like terms: 35p + -35p = 0 34 + -1p = -70 + 0 34 + -1p = -70 Add '-34' to each side of the equation. 34 + -34 + -1p = -70 + -34 Combine like terms: 34 + -34 = 0 0 + -1p = -70 + -34 -1p = -70 + -34 Combine like terms: -70 + -34 = -104 -1p = -104 Divide each side by '-1'. p = 104 Simplifying p = 104
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