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Simplifying 3p + -2(4 + -4p) = 6(p + -5) + -38 3p + (4 * -2 + -4p * -2) = 6(p + -5) + -38 3p + (-8 + 8p) = 6(p + -5) + -38 Reorder the terms: -8 + 3p + 8p = 6(p + -5) + -38 Combine like terms: 3p + 8p = 11p -8 + 11p = 6(p + -5) + -38 Reorder the terms: -8 + 11p = 6(-5 + p) + -38 -8 + 11p = (-5 * 6 + p * 6) + -38 -8 + 11p = (-30 + 6p) + -38 Reorder the terms: -8 + 11p = -30 + -38 + 6p Combine like terms: -30 + -38 = -68 -8 + 11p = -68 + 6p Solving -8 + 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. -8 + 11p + -6p = -68 + 6p + -6p Combine like terms: 11p + -6p = 5p -8 + 5p = -68 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 5p = -68 + 0 -8 + 5p = -68 Add '8' to each side of the equation. -8 + 8 + 5p = -68 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -68 + 8 5p = -68 + 8 Combine like terms: -68 + 8 = -60 5p = -60 Divide each side by '5'. p = -12 Simplifying p = -12
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