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Simplifying 35 = 4(p + 7) + 3 Reorder the terms: 35 = 4(7 + p) + 3 35 = (7 * 4 + p * 4) + 3 35 = (28 + 4p) + 3 Reorder the terms: 35 = 28 + 3 + 4p Combine like terms: 28 + 3 = 31 35 = 31 + 4p Solving 35 = 31 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 35 + -4p = 31 + 4p + -4p Combine like terms: 4p + -4p = 0 35 + -4p = 31 + 0 35 + -4p = 31 Add '-35' to each side of the equation. 35 + -35 + -4p = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -4p = 31 + -35 -4p = 31 + -35 Combine like terms: 31 + -35 = -4 -4p = -4 Divide each side by '-4'. p = 1 Simplifying p = 1
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