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Simplifying 8(2p + 1) = -18 + 20p + -18 Reorder the terms: 8(1 + 2p) = -18 + 20p + -18 (1 * 8 + 2p * 8) = -18 + 20p + -18 (8 + 16p) = -18 + 20p + -18 Reorder the terms: 8 + 16p = -18 + -18 + 20p Combine like terms: -18 + -18 = -36 8 + 16p = -36 + 20p Solving 8 + 16p = -36 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 8 + 16p + -20p = -36 + 20p + -20p Combine like terms: 16p + -20p = -4p 8 + -4p = -36 + 20p + -20p Combine like terms: 20p + -20p = 0 8 + -4p = -36 + 0 8 + -4p = -36 Add '-8' to each side of the equation. 8 + -8 + -4p = -36 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = -36 + -8 -4p = -36 + -8 Combine like terms: -36 + -8 = -44 -4p = -44 Divide each side by '-4'. p = 11 Simplifying p = 11
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