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Simplifying 8(p + -8) = -22 + p Reorder the terms: 8(-8 + p) = -22 + p (-8 * 8 + p * 8) = -22 + p (-64 + 8p) = -22 + p Solving -64 + 8p = -22 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -64 + 8p + -1p = -22 + p + -1p Combine like terms: 8p + -1p = 7p -64 + 7p = -22 + p + -1p Combine like terms: p + -1p = 0 -64 + 7p = -22 + 0 -64 + 7p = -22 Add '64' to each side of the equation. -64 + 64 + 7p = -22 + 64 Combine like terms: -64 + 64 = 0 0 + 7p = -22 + 64 7p = -22 + 64 Combine like terms: -22 + 64 = 42 7p = 42 Divide each side by '7'. p = 6 Simplifying p = 6
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