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Simplifying -6(-5 + 6p) + -3 = 2p + 27 (-5 * -6 + 6p * -6) + -3 = 2p + 27 (30 + -36p) + -3 = 2p + 27 Reorder the terms: 30 + -3 + -36p = 2p + 27 Combine like terms: 30 + -3 = 27 27 + -36p = 2p + 27 Reorder the terms: 27 + -36p = 27 + 2p Add '-27' to each side of the equation. 27 + -27 + -36p = 27 + -27 + 2p Combine like terms: 27 + -27 = 0 0 + -36p = 27 + -27 + 2p -36p = 27 + -27 + 2p Combine like terms: 27 + -27 = 0 -36p = 0 + 2p -36p = 2p Solving -36p = 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. -36p + -2p = 2p + -2p Combine like terms: -36p + -2p = -38p -38p = 2p + -2p Combine like terms: 2p + -2p = 0 -38p = 0 Divide each side by '-38'. p = 0 Simplifying p = 0
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