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Simplifying 5 + 10(p + 2) = 6p + 7 Reorder the terms: 5 + 10(2 + p) = 6p + 7 5 + (2 * 10 + p * 10) = 6p + 7 5 + (20 + 10p) = 6p + 7 Combine like terms: 5 + 20 = 25 25 + 10p = 6p + 7 Reorder the terms: 25 + 10p = 7 + 6p Solving 25 + 10p = 7 + 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. 25 + 10p + -6p = 7 + 6p + -6p Combine like terms: 10p + -6p = 4p 25 + 4p = 7 + 6p + -6p Combine like terms: 6p + -6p = 0 25 + 4p = 7 + 0 25 + 4p = 7 Add '-25' to each side of the equation. 25 + -25 + 4p = 7 + -25 Combine like terms: 25 + -25 = 0 0 + 4p = 7 + -25 4p = 7 + -25 Combine like terms: 7 + -25 = -18 4p = -18 Divide each side by '4'. p = -4.5 Simplifying p = -4.5
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