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Simplifying -8p + -5(4 + -3p) = 4(p + -6) + -23 -8p + (4 * -5 + -3p * -5) = 4(p + -6) + -23 -8p + (-20 + 15p) = 4(p + -6) + -23 Reorder the terms: -20 + -8p + 15p = 4(p + -6) + -23 Combine like terms: -8p + 15p = 7p -20 + 7p = 4(p + -6) + -23 Reorder the terms: -20 + 7p = 4(-6 + p) + -23 -20 + 7p = (-6 * 4 + p * 4) + -23 -20 + 7p = (-24 + 4p) + -23 Reorder the terms: -20 + 7p = -24 + -23 + 4p Combine like terms: -24 + -23 = -47 -20 + 7p = -47 + 4p Solving -20 + 7p = -47 + 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. -20 + 7p + -4p = -47 + 4p + -4p Combine like terms: 7p + -4p = 3p -20 + 3p = -47 + 4p + -4p Combine like terms: 4p + -4p = 0 -20 + 3p = -47 + 0 -20 + 3p = -47 Add '20' to each side of the equation. -20 + 20 + 3p = -47 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -47 + 20 3p = -47 + 20 Combine like terms: -47 + 20 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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