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Simplifying 2(p + -2) * 16 = 5p + -9 Reorder the terms: 2(-2 + p) * 16 = 5p + -9 Reorder the terms for easier multiplication: 2 * 16(-2 + p) = 5p + -9 Multiply 2 * 16 32(-2 + p) = 5p + -9 (-2 * 32 + p * 32) = 5p + -9 (-64 + 32p) = 5p + -9 Reorder the terms: -64 + 32p = -9 + 5p Solving -64 + 32p = -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. -64 + 32p + -5p = -9 + 5p + -5p Combine like terms: 32p + -5p = 27p -64 + 27p = -9 + 5p + -5p Combine like terms: 5p + -5p = 0 -64 + 27p = -9 + 0 -64 + 27p = -9 Add '64' to each side of the equation. -64 + 64 + 27p = -9 + 64 Combine like terms: -64 + 64 = 0 0 + 27p = -9 + 64 27p = -9 + 64 Combine like terms: -9 + 64 = 55 27p = 55 Divide each side by '27'. p = 2.037037037 Simplifying p = 2.037037037
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