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Simplifying 2(p + -2) + 16 = 5p + -9 Reorder the terms: 2(-2 + p) + 16 = 5p + -9 (-2 * 2 + p * 2) + 16 = 5p + -9 (-4 + 2p) + 16 = 5p + -9 Reorder the terms: -4 + 16 + 2p = 5p + -9 Combine like terms: -4 + 16 = 12 12 + 2p = 5p + -9 Reorder the terms: 12 + 2p = -9 + 5p Solving 12 + 2p = -9 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 12 + 2p + -5p = -9 + 5p + -5p Combine like terms: 2p + -5p = -3p 12 + -3p = -9 + 5p + -5p Combine like terms: 5p + -5p = 0 12 + -3p = -9 + 0 12 + -3p = -9 Add '-12' to each side of the equation. 12 + -12 + -3p = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = -9 + -12 -3p = -9 + -12 Combine like terms: -9 + -12 = -21 -3p = -21 Divide each side by '-3'. p = 7 Simplifying p = 7
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