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Simplifying 4(p + -6) + -5(1 + 6p) = 23 Reorder the terms: 4(-6 + p) + -5(1 + 6p) = 23 (-6 * 4 + p * 4) + -5(1 + 6p) = 23 (-24 + 4p) + -5(1 + 6p) = 23 -24 + 4p + (1 * -5 + 6p * -5) = 23 -24 + 4p + (-5 + -30p) = 23 Reorder the terms: -24 + -5 + 4p + -30p = 23 Combine like terms: -24 + -5 = -29 -29 + 4p + -30p = 23 Combine like terms: 4p + -30p = -26p -29 + -26p = 23 Solving -29 + -26p = 23 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -26p = 23 + 29 Combine like terms: -29 + 29 = 0 0 + -26p = 23 + 29 -26p = 23 + 29 Combine like terms: 23 + 29 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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