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Simplifying 8p + -3 + 6p + 3 = -8(4p + 8) + 8(-2p + 8) Reorder the terms: -3 + 3 + 8p + 6p = -8(4p + 8) + 8(-2p + 8) Combine like terms: -3 + 3 = 0 0 + 8p + 6p = -8(4p + 8) + 8(-2p + 8) 8p + 6p = -8(4p + 8) + 8(-2p + 8) Combine like terms: 8p + 6p = 14p 14p = -8(4p + 8) + 8(-2p + 8) Reorder the terms: 14p = -8(8 + 4p) + 8(-2p + 8) 14p = (8 * -8 + 4p * -8) + 8(-2p + 8) 14p = (-64 + -32p) + 8(-2p + 8) Reorder the terms: 14p = -64 + -32p + 8(8 + -2p) 14p = -64 + -32p + (8 * 8 + -2p * 8) 14p = -64 + -32p + (64 + -16p) Reorder the terms: 14p = -64 + 64 + -32p + -16p Combine like terms: -64 + 64 = 0 14p = 0 + -32p + -16p 14p = -32p + -16p Combine like terms: -32p + -16p = -48p 14p = -48p Solving 14p = -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. 14p + 48p = -48p + 48p Combine like terms: 14p + 48p = 62p 62p = -48p + 48p Combine like terms: -48p + 48p = 0 62p = 0 Divide each side by '62'. p = 0 Simplifying p = 0
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