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Simplifying 6(p + -8) = 6p + -3(11p + -6) Reorder the terms: 6(-8 + p) = 6p + -3(11p + -6) (-8 * 6 + p * 6) = 6p + -3(11p + -6) (-48 + 6p) = 6p + -3(11p + -6) Reorder the terms: -48 + 6p = 6p + -3(-6 + 11p) -48 + 6p = 6p + (-6 * -3 + 11p * -3) -48 + 6p = 6p + (18 + -33p) Reorder the terms: -48 + 6p = 18 + 6p + -33p Combine like terms: 6p + -33p = -27p -48 + 6p = 18 + -27p Solving -48 + 6p = 18 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -48 + 6p + 27p = 18 + -27p + 27p Combine like terms: 6p + 27p = 33p -48 + 33p = 18 + -27p + 27p Combine like terms: -27p + 27p = 0 -48 + 33p = 18 + 0 -48 + 33p = 18 Add '48' to each side of the equation. -48 + 48 + 33p = 18 + 48 Combine like terms: -48 + 48 = 0 0 + 33p = 18 + 48 33p = 18 + 48 Combine like terms: 18 + 48 = 66 33p = 66 Divide each side by '33'. p = 2 Simplifying p = 2
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