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Simplifying 7p + -5 = 2(3p + 4) Reorder the terms: -5 + 7p = 2(3p + 4) Reorder the terms: -5 + 7p = 2(4 + 3p) -5 + 7p = (4 * 2 + 3p * 2) -5 + 7p = (8 + 6p) Solving -5 + 7p = 8 + 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. -5 + 7p + -6p = 8 + 6p + -6p Combine like terms: 7p + -6p = 1p -5 + 1p = 8 + 6p + -6p Combine like terms: 6p + -6p = 0 -5 + 1p = 8 + 0 -5 + 1p = 8 Add '5' to each side of the equation. -5 + 5 + 1p = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1p = 8 + 5 1p = 8 + 5 Combine like terms: 8 + 5 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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