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Simplifying 8(-3p + -6) + 7(p + 6) = 11 Reorder the terms: 8(-6 + -3p) + 7(p + 6) = 11 (-6 * 8 + -3p * 8) + 7(p + 6) = 11 (-48 + -24p) + 7(p + 6) = 11 Reorder the terms: -48 + -24p + 7(6 + p) = 11 -48 + -24p + (6 * 7 + p * 7) = 11 -48 + -24p + (42 + 7p) = 11 Reorder the terms: -48 + 42 + -24p + 7p = 11 Combine like terms: -48 + 42 = -6 -6 + -24p + 7p = 11 Combine like terms: -24p + 7p = -17p -6 + -17p = 11 Solving -6 + -17p = 11 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -17p = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -17p = 11 + 6 -17p = 11 + 6 Combine like terms: 11 + 6 = 17 -17p = 17 Divide each side by '-17'. p = -1 Simplifying p = -1
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