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Simplifying 6(p + -8) = 15p + 51 Reorder the terms: 6(-8 + p) = 15p + 51 (-8 * 6 + p * 6) = 15p + 51 (-48 + 6p) = 15p + 51 Reorder the terms: -48 + 6p = 51 + 15p Solving -48 + 6p = 51 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -48 + 6p + -15p = 51 + 15p + -15p Combine like terms: 6p + -15p = -9p -48 + -9p = 51 + 15p + -15p Combine like terms: 15p + -15p = 0 -48 + -9p = 51 + 0 -48 + -9p = 51 Add '48' to each side of the equation. -48 + 48 + -9p = 51 + 48 Combine like terms: -48 + 48 = 0 0 + -9p = 51 + 48 -9p = 51 + 48 Combine like terms: 51 + 48 = 99 -9p = 99 Divide each side by '-9'. p = -11 Simplifying p = -11
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