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Simplifying 18 + 6p = 8(2p + 1) Reorder the terms: 18 + 6p = 8(1 + 2p) 18 + 6p = (1 * 8 + 2p * 8) 18 + 6p = (8 + 16p) Solving 18 + 6p = 8 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 18 + 6p + -16p = 8 + 16p + -16p Combine like terms: 6p + -16p = -10p 18 + -10p = 8 + 16p + -16p Combine like terms: 16p + -16p = 0 18 + -10p = 8 + 0 18 + -10p = 8 Add '-18' to each side of the equation. 18 + -18 + -10p = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -10p = 8 + -18 -10p = 8 + -18 Combine like terms: 8 + -18 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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