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Simplifying -5p + 32 = 2(p + -2) Reorder the terms: 32 + -5p = 2(p + -2) Reorder the terms: 32 + -5p = 2(-2 + p) 32 + -5p = (-2 * 2 + p * 2) 32 + -5p = (-4 + 2p) Solving 32 + -5p = -4 + 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 = -4 + 2p + -2p Combine like terms: -5p + -2p = -7p 32 + -7p = -4 + 2p + -2p Combine like terms: 2p + -2p = 0 32 + -7p = -4 + 0 32 + -7p = -4 Add '-32' to each side of the equation. 32 + -32 + -7p = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -7p = -4 + -32 -7p = -4 + -32 Combine like terms: -4 + -32 = -36 -7p = -36 Divide each side by '-7'. p = 5.142857143 Simplifying p = 5.142857143
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