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Simplifying 16(p + -2) = 7p + 4 Reorder the terms: 16(-2 + p) = 7p + 4 (-2 * 16 + p * 16) = 7p + 4 (-32 + 16p) = 7p + 4 Reorder the terms: -32 + 16p = 4 + 7p Solving -32 + 16p = 4 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -32 + 16p + -7p = 4 + 7p + -7p Combine like terms: 16p + -7p = 9p -32 + 9p = 4 + 7p + -7p Combine like terms: 7p + -7p = 0 -32 + 9p = 4 + 0 -32 + 9p = 4 Add '32' to each side of the equation. -32 + 32 + 9p = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 9p = 4 + 32 9p = 4 + 32 Combine like terms: 4 + 32 = 36 9p = 36 Divide each side by '9'. p = 4 Simplifying p = 4
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