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Simplifying -2p + -2(3 + -5p) = 4(p + -6) + -38 -2p + (3 * -2 + -5p * -2) = 4(p + -6) + -38 -2p + (-6 + 10p) = 4(p + -6) + -38 Reorder the terms: -6 + -2p + 10p = 4(p + -6) + -38 Combine like terms: -2p + 10p = 8p -6 + 8p = 4(p + -6) + -38 Reorder the terms: -6 + 8p = 4(-6 + p) + -38 -6 + 8p = (-6 * 4 + p * 4) + -38 -6 + 8p = (-24 + 4p) + -38 Reorder the terms: -6 + 8p = -24 + -38 + 4p Combine like terms: -24 + -38 = -62 -6 + 8p = -62 + 4p Solving -6 + 8p = -62 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -6 + 8p + -4p = -62 + 4p + -4p Combine like terms: 8p + -4p = 4p -6 + 4p = -62 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + 4p = -62 + 0 -6 + 4p = -62 Add '6' to each side of the equation. -6 + 6 + 4p = -62 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -62 + 6 4p = -62 + 6 Combine like terms: -62 + 6 = -56 4p = -56 Divide each side by '4'. p = -14 Simplifying p = -14
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