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Simplifying 8(6 + 3p) + 6(5 + -1p) = -66 (6 * 8 + 3p * 8) + 6(5 + -1p) = -66 (48 + 24p) + 6(5 + -1p) = -66 48 + 24p + (5 * 6 + -1p * 6) = -66 48 + 24p + (30 + -6p) = -66 Reorder the terms: 48 + 30 + 24p + -6p = -66 Combine like terms: 48 + 30 = 78 78 + 24p + -6p = -66 Combine like terms: 24p + -6p = 18p 78 + 18p = -66 Solving 78 + 18p = -66 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 18p = -66 + -78 Combine like terms: 78 + -78 = 0 0 + 18p = -66 + -78 18p = -66 + -78 Combine like terms: -66 + -78 = -144 18p = -144 Divide each side by '18'. p = -8 Simplifying p = -8
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