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Simplifying 5p + -3(6 + -2p) = 6(p + -6) + -32 5p + (6 * -3 + -2p * -3) = 6(p + -6) + -32 5p + (-18 + 6p) = 6(p + -6) + -32 Reorder the terms: -18 + 5p + 6p = 6(p + -6) + -32 Combine like terms: 5p + 6p = 11p -18 + 11p = 6(p + -6) + -32 Reorder the terms: -18 + 11p = 6(-6 + p) + -32 -18 + 11p = (-6 * 6 + p * 6) + -32 -18 + 11p = (-36 + 6p) + -32 Reorder the terms: -18 + 11p = -36 + -32 + 6p Combine like terms: -36 + -32 = -68 -18 + 11p = -68 + 6p Solving -18 + 11p = -68 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 11p + -6p = -68 + 6p + -6p Combine like terms: 11p + -6p = 5p -18 + 5p = -68 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 5p = -68 + 0 -18 + 5p = -68 Add '18' to each side of the equation. -18 + 18 + 5p = -68 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -68 + 18 5p = -68 + 18 Combine like terms: -68 + 18 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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