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Simplifying 12 + -5p + -18 = 8p + 22 + -6p Reorder the terms: 12 + -18 + -5p = 8p + 22 + -6p Combine like terms: 12 + -18 = -6 -6 + -5p = 8p + 22 + -6p Reorder the terms: -6 + -5p = 22 + 8p + -6p Combine like terms: 8p + -6p = 2p -6 + -5p = 22 + 2p Solving -6 + -5p = 22 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -6 + -5p + -2p = 22 + 2p + -2p Combine like terms: -5p + -2p = -7p -6 + -7p = 22 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + -7p = 22 + 0 -6 + -7p = 22 Add '6' to each side of the equation. -6 + 6 + -7p = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = 22 + 6 -7p = 22 + 6 Combine like terms: 22 + 6 = 28 -7p = 28 Divide each side by '-7'. p = -4 Simplifying p = -4
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