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Simplifying -1p + 3(p + -6) = 22 + -3p Reorder the terms: -1p + 3(-6 + p) = 22 + -3p -1p + (-6 * 3 + p * 3) = 22 + -3p -1p + (-18 + 3p) = 22 + -3p Reorder the terms: -18 + -1p + 3p = 22 + -3p Combine like terms: -1p + 3p = 2p -18 + 2p = 22 + -3p Solving -18 + 2p = 22 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -18 + 2p + 3p = 22 + -3p + 3p Combine like terms: 2p + 3p = 5p -18 + 5p = 22 + -3p + 3p Combine like terms: -3p + 3p = 0 -18 + 5p = 22 + 0 -18 + 5p = 22 Add '18' to each side of the equation. -18 + 18 + 5p = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = 22 + 18 5p = 22 + 18 Combine like terms: 22 + 18 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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