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Simplifying -32 + -6(5 + -6p) = 2(p + -5) + -4 -32 + (5 * -6 + -6p * -6) = 2(p + -5) + -4 -32 + (-30 + 36p) = 2(p + -5) + -4 Combine like terms: -32 + -30 = -62 -62 + 36p = 2(p + -5) + -4 Reorder the terms: -62 + 36p = 2(-5 + p) + -4 -62 + 36p = (-5 * 2 + p * 2) + -4 -62 + 36p = (-10 + 2p) + -4 Reorder the terms: -62 + 36p = -10 + -4 + 2p Combine like terms: -10 + -4 = -14 -62 + 36p = -14 + 2p Solving -62 + 36p = -14 + 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. -62 + 36p + -2p = -14 + 2p + -2p Combine like terms: 36p + -2p = 34p -62 + 34p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -62 + 34p = -14 + 0 -62 + 34p = -14 Add '62' to each side of the equation. -62 + 62 + 34p = -14 + 62 Combine like terms: -62 + 62 = 0 0 + 34p = -14 + 62 34p = -14 + 62 Combine like terms: -14 + 62 = 48 34p = 48 Divide each side by '34'. p = 1.411764706 Simplifying p = 1.411764706
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