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Simplifying 7(2p + 1) = 15p + 7 Reorder the terms: 7(1 + 2p) = 15p + 7 (1 * 7 + 2p * 7) = 15p + 7 (7 + 14p) = 15p + 7 Reorder the terms: 7 + 14p = 7 + 15p Add '-7' to each side of the equation. 7 + -7 + 14p = 7 + -7 + 15p Combine like terms: 7 + -7 = 0 0 + 14p = 7 + -7 + 15p 14p = 7 + -7 + 15p Combine like terms: 7 + -7 = 0 14p = 0 + 15p 14p = 15p Solving 14p = 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 14p + -15p = 15p + -15p Combine like terms: 14p + -15p = -1p -1p = 15p + -15p Combine like terms: 15p + -15p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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