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Simplifying -4(5p + -6) + 8(2p + 5) = 6p + 6p Reorder the terms: -4(-6 + 5p) + 8(2p + 5) = 6p + 6p (-6 * -4 + 5p * -4) + 8(2p + 5) = 6p + 6p (24 + -20p) + 8(2p + 5) = 6p + 6p Reorder the terms: 24 + -20p + 8(5 + 2p) = 6p + 6p 24 + -20p + (5 * 8 + 2p * 8) = 6p + 6p 24 + -20p + (40 + 16p) = 6p + 6p Reorder the terms: 24 + 40 + -20p + 16p = 6p + 6p Combine like terms: 24 + 40 = 64 64 + -20p + 16p = 6p + 6p Combine like terms: -20p + 16p = -4p 64 + -4p = 6p + 6p Combine like terms: 6p + 6p = 12p 64 + -4p = 12p Solving 64 + -4p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 64 + -4p + -12p = 12p + -12p Combine like terms: -4p + -12p = -16p 64 + -16p = 12p + -12p Combine like terms: 12p + -12p = 0 64 + -16p = 0 Add '-64' to each side of the equation. 64 + -64 + -16p = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -16p = 0 + -64 -16p = 0 + -64 Combine like terms: 0 + -64 = -64 -16p = -64 Divide each side by '-16'. p = 4 Simplifying p = 4
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