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Simplifying 5p + 34 = 8(p + 2) Reorder the terms: 34 + 5p = 8(p + 2) Reorder the terms: 34 + 5p = 8(2 + p) 34 + 5p = (2 * 8 + p * 8) 34 + 5p = (16 + 8p) Solving 34 + 5p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 34 + 5p + -8p = 16 + 8p + -8p Combine like terms: 5p + -8p = -3p 34 + -3p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 34 + -3p = 16 + 0 34 + -3p = 16 Add '-34' to each side of the equation. 34 + -34 + -3p = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -3p = 16 + -34 -3p = 16 + -34 Combine like terms: 16 + -34 = -18 -3p = -18 Divide each side by '-3'. p = 6 Simplifying p = 6
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