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Simplifying 5(p + -6) + -2 = 2p + -5 Reorder the terms: 5(-6 + p) + -2 = 2p + -5 (-6 * 5 + p * 5) + -2 = 2p + -5 (-30 + 5p) + -2 = 2p + -5 Reorder the terms: -30 + -2 + 5p = 2p + -5 Combine like terms: -30 + -2 = -32 -32 + 5p = 2p + -5 Reorder the terms: -32 + 5p = -5 + 2p Solving -32 + 5p = -5 + 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. -32 + 5p + -2p = -5 + 2p + -2p Combine like terms: 5p + -2p = 3p -32 + 3p = -5 + 2p + -2p Combine like terms: 2p + -2p = 0 -32 + 3p = -5 + 0 -32 + 3p = -5 Add '32' to each side of the equation. -32 + 32 + 3p = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 3p = -5 + 32 3p = -5 + 32 Combine like terms: -5 + 32 = 27 3p = 27 Divide each side by '3'. p = 9 Simplifying p = 9
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