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Simplifying 2(p + -6) = 9p + 23 Reorder the terms: 2(-6 + p) = 9p + 23 (-6 * 2 + p * 2) = 9p + 23 (-12 + 2p) = 9p + 23 Reorder the terms: -12 + 2p = 23 + 9p Solving -12 + 2p = 23 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -12 + 2p + -9p = 23 + 9p + -9p Combine like terms: 2p + -9p = -7p -12 + -7p = 23 + 9p + -9p Combine like terms: 9p + -9p = 0 -12 + -7p = 23 + 0 -12 + -7p = 23 Add '12' to each side of the equation. -12 + 12 + -7p = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -7p = 23 + 12 -7p = 23 + 12 Combine like terms: 23 + 12 = 35 -7p = 35 Divide each side by '-7'. p = -5 Simplifying p = -5
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