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Simplifying 4(6p + -20) = 13p + -9(p + 20) Reorder the terms: 4(-20 + 6p) = 13p + -9(p + 20) (-20 * 4 + 6p * 4) = 13p + -9(p + 20) (-80 + 24p) = 13p + -9(p + 20) Reorder the terms: -80 + 24p = 13p + -9(20 + p) -80 + 24p = 13p + (20 * -9 + p * -9) -80 + 24p = 13p + (-180 + -9p) Reorder the terms: -80 + 24p = -180 + 13p + -9p Combine like terms: 13p + -9p = 4p -80 + 24p = -180 + 4p Solving -80 + 24p = -180 + 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. -80 + 24p + -4p = -180 + 4p + -4p Combine like terms: 24p + -4p = 20p -80 + 20p = -180 + 4p + -4p Combine like terms: 4p + -4p = 0 -80 + 20p = -180 + 0 -80 + 20p = -180 Add '80' to each side of the equation. -80 + 80 + 20p = -180 + 80 Combine like terms: -80 + 80 = 0 0 + 20p = -180 + 80 20p = -180 + 80 Combine like terms: -180 + 80 = -100 20p = -100 Divide each side by '20'. p = -5 Simplifying p = -5
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