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Simplifying -23p + -6(4 + -5p) = 4(p + -6) + -24 -23p + (4 * -6 + -5p * -6) = 4(p + -6) + -24 -23p + (-24 + 30p) = 4(p + -6) + -24 Reorder the terms: -24 + -23p + 30p = 4(p + -6) + -24 Combine like terms: -23p + 30p = 7p -24 + 7p = 4(p + -6) + -24 Reorder the terms: -24 + 7p = 4(-6 + p) + -24 -24 + 7p = (-6 * 4 + p * 4) + -24 -24 + 7p = (-24 + 4p) + -24 Reorder the terms: -24 + 7p = -24 + -24 + 4p Combine like terms: -24 + -24 = -48 -24 + 7p = -48 + 4p Solving -24 + 7p = -48 + 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. -24 + 7p + -4p = -48 + 4p + -4p Combine like terms: 7p + -4p = 3p -24 + 3p = -48 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 3p = -48 + 0 -24 + 3p = -48 Add '24' to each side of the equation. -24 + 24 + 3p = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -48 + 24 3p = -48 + 24 Combine like terms: -48 + 24 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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