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Simplifying 9(p + 11) = -7(-4p + -6) Reorder the terms: 9(11 + p) = -7(-4p + -6) (11 * 9 + p * 9) = -7(-4p + -6) (99 + 9p) = -7(-4p + -6) Reorder the terms: 99 + 9p = -7(-6 + -4p) 99 + 9p = (-6 * -7 + -4p * -7) 99 + 9p = (42 + 28p) Solving 99 + 9p = 42 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. 99 + 9p + -28p = 42 + 28p + -28p Combine like terms: 9p + -28p = -19p 99 + -19p = 42 + 28p + -28p Combine like terms: 28p + -28p = 0 99 + -19p = 42 + 0 99 + -19p = 42 Add '-99' to each side of the equation. 99 + -99 + -19p = 42 + -99 Combine like terms: 99 + -99 = 0 0 + -19p = 42 + -99 -19p = 42 + -99 Combine like terms: 42 + -99 = -57 -19p = -57 Divide each side by '-19'. p = 3 Simplifying p = 3
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