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Simplifying -2p + 8 = 6(6p + 5) Reorder the terms: 8 + -2p = 6(6p + 5) Reorder the terms: 8 + -2p = 6(5 + 6p) 8 + -2p = (5 * 6 + 6p * 6) 8 + -2p = (30 + 36p) Solving 8 + -2p = 30 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 8 + -2p + -36p = 30 + 36p + -36p Combine like terms: -2p + -36p = -38p 8 + -38p = 30 + 36p + -36p Combine like terms: 36p + -36p = 0 8 + -38p = 30 + 0 8 + -38p = 30 Add '-8' to each side of the equation. 8 + -8 + -38p = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -38p = 30 + -8 -38p = 30 + -8 Combine like terms: 30 + -8 = 22 -38p = 22 Divide each side by '-38'. p = -0.5789473684 Simplifying p = -0.5789473684
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