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Simplifying 3p + -38 = -4(6p + -8) + -8 Reorder the terms: -38 + 3p = -4(6p + -8) + -8 Reorder the terms: -38 + 3p = -4(-8 + 6p) + -8 -38 + 3p = (-8 * -4 + 6p * -4) + -8 -38 + 3p = (32 + -24p) + -8 Reorder the terms: -38 + 3p = 32 + -8 + -24p Combine like terms: 32 + -8 = 24 -38 + 3p = 24 + -24p Solving -38 + 3p = 24 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. -38 + 3p + 24p = 24 + -24p + 24p Combine like terms: 3p + 24p = 27p -38 + 27p = 24 + -24p + 24p Combine like terms: -24p + 24p = 0 -38 + 27p = 24 + 0 -38 + 27p = 24 Add '38' to each side of the equation. -38 + 38 + 27p = 24 + 38 Combine like terms: -38 + 38 = 0 0 + 27p = 24 + 38 27p = 24 + 38 Combine like terms: 24 + 38 = 62 27p = 62 Divide each side by '27'. p = 2.296296296 Simplifying p = 2.296296296
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