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Simplifying 18 + 4p = -8(5p + -8) + -2p Reorder the terms: 18 + 4p = -8(-8 + 5p) + -2p 18 + 4p = (-8 * -8 + 5p * -8) + -2p 18 + 4p = (64 + -40p) + -2p Combine like terms: -40p + -2p = -42p 18 + 4p = 64 + -42p Solving 18 + 4p = 64 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. 18 + 4p + 42p = 64 + -42p + 42p Combine like terms: 4p + 42p = 46p 18 + 46p = 64 + -42p + 42p Combine like terms: -42p + 42p = 0 18 + 46p = 64 + 0 18 + 46p = 64 Add '-18' to each side of the equation. 18 + -18 + 46p = 64 + -18 Combine like terms: 18 + -18 = 0 0 + 46p = 64 + -18 46p = 64 + -18 Combine like terms: 64 + -18 = 46 46p = 46 Divide each side by '46'. p = 1 Simplifying p = 1
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