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Simplifying 208 = 8p + 4(7p + 7) Reorder the terms: 208 = 8p + 4(7 + 7p) 208 = 8p + (7 * 4 + 7p * 4) 208 = 8p + (28 + 28p) Reorder the terms: 208 = 28 + 8p + 28p Combine like terms: 8p + 28p = 36p 208 = 28 + 36p Solving 208 = 28 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 208 + -36p = 28 + 36p + -36p Combine like terms: 36p + -36p = 0 208 + -36p = 28 + 0 208 + -36p = 28 Add '-208' to each side of the equation. 208 + -208 + -36p = 28 + -208 Combine like terms: 208 + -208 = 0 0 + -36p = 28 + -208 -36p = 28 + -208 Combine like terms: 28 + -208 = -180 -36p = -180 Divide each side by '-36'. p = 5 Simplifying p = 5
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