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Simplifying -4(5p + -15) = 16p + -6(13p + 11) Reorder the terms: -4(-15 + 5p) = 16p + -6(13p + 11) (-15 * -4 + 5p * -4) = 16p + -6(13p + 11) (60 + -20p) = 16p + -6(13p + 11) Reorder the terms: 60 + -20p = 16p + -6(11 + 13p) 60 + -20p = 16p + (11 * -6 + 13p * -6) 60 + -20p = 16p + (-66 + -78p) Reorder the terms: 60 + -20p = -66 + 16p + -78p Combine like terms: 16p + -78p = -62p 60 + -20p = -66 + -62p Solving 60 + -20p = -66 + -62p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '62p' to each side of the equation. 60 + -20p + 62p = -66 + -62p + 62p Combine like terms: -20p + 62p = 42p 60 + 42p = -66 + -62p + 62p Combine like terms: -62p + 62p = 0 60 + 42p = -66 + 0 60 + 42p = -66 Add '-60' to each side of the equation. 60 + -60 + 42p = -66 + -60 Combine like terms: 60 + -60 = 0 0 + 42p = -66 + -60 42p = -66 + -60 Combine like terms: -66 + -60 = -126 42p = -126 Divide each side by '42'. p = -3 Simplifying p = -3
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