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Simplifying -3p + 31 = -6(-4p + 4) + 1 Reorder the terms: 31 + -3p = -6(-4p + 4) + 1 Reorder the terms: 31 + -3p = -6(4 + -4p) + 1 31 + -3p = (4 * -6 + -4p * -6) + 1 31 + -3p = (-24 + 24p) + 1 Reorder the terms: 31 + -3p = -24 + 1 + 24p Combine like terms: -24 + 1 = -23 31 + -3p = -23 + 24p Solving 31 + -3p = -23 + 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. 31 + -3p + -24p = -23 + 24p + -24p Combine like terms: -3p + -24p = -27p 31 + -27p = -23 + 24p + -24p Combine like terms: 24p + -24p = 0 31 + -27p = -23 + 0 31 + -27p = -23 Add '-31' to each side of the equation. 31 + -31 + -27p = -23 + -31 Combine like terms: 31 + -31 = 0 0 + -27p = -23 + -31 -27p = -23 + -31 Combine like terms: -23 + -31 = -54 -27p = -54 Divide each side by '-27'. p = 2 Simplifying p = 2
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