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Simplifying 5p + 8 = 2(3p + 1) Reorder the terms: 8 + 5p = 2(3p + 1) Reorder the terms: 8 + 5p = 2(1 + 3p) 8 + 5p = (1 * 2 + 3p * 2) 8 + 5p = (2 + 6p) Solving 8 + 5p = 2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 8 + 5p + -6p = 2 + 6p + -6p Combine like terms: 5p + -6p = -1p 8 + -1p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -1p = 2 + 0 8 + -1p = 2 Add '-8' to each side of the equation. 8 + -8 + -1p = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 2 + -8 -1p = 2 + -8 Combine like terms: 2 + -8 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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