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Simplifying 7(2p + 9) = 8(3p + -8) Reorder the terms: 7(9 + 2p) = 8(3p + -8) (9 * 7 + 2p * 7) = 8(3p + -8) (63 + 14p) = 8(3p + -8) Reorder the terms: 63 + 14p = 8(-8 + 3p) 63 + 14p = (-8 * 8 + 3p * 8) 63 + 14p = (-64 + 24p) Solving 63 + 14p = -64 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 63 + 14p + -24p = -64 + 24p + -24p Combine like terms: 14p + -24p = -10p 63 + -10p = -64 + 24p + -24p Combine like terms: 24p + -24p = 0 63 + -10p = -64 + 0 63 + -10p = -64 Add '-63' to each side of the equation. 63 + -63 + -10p = -64 + -63 Combine like terms: 63 + -63 = 0 0 + -10p = -64 + -63 -10p = -64 + -63 Combine like terms: -64 + -63 = -127 -10p = -127 Divide each side by '-10'. p = 12.7 Simplifying p = 12.7
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