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Simplifying 3(p + -6) = 6 + -6(p + -11) Reorder the terms: 3(-6 + p) = 6 + -6(p + -11) (-6 * 3 + p * 3) = 6 + -6(p + -11) (-18 + 3p) = 6 + -6(p + -11) Reorder the terms: -18 + 3p = 6 + -6(-11 + p) -18 + 3p = 6 + (-11 * -6 + p * -6) -18 + 3p = 6 + (66 + -6p) Combine like terms: 6 + 66 = 72 -18 + 3p = 72 + -6p Solving -18 + 3p = 72 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -18 + 3p + 6p = 72 + -6p + 6p Combine like terms: 3p + 6p = 9p -18 + 9p = 72 + -6p + 6p Combine like terms: -6p + 6p = 0 -18 + 9p = 72 + 0 -18 + 9p = 72 Add '18' to each side of the equation. -18 + 18 + 9p = 72 + 18 Combine like terms: -18 + 18 = 0 0 + 9p = 72 + 18 9p = 72 + 18 Combine like terms: 72 + 18 = 90 9p = 90 Divide each side by '9'. p = 10 Simplifying p = 10
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