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Simplifying -2p + 7 = 6(6p + 8) Reorder the terms: 7 + -2p = 6(6p + 8) Reorder the terms: 7 + -2p = 6(8 + 6p) 7 + -2p = (8 * 6 + 6p * 6) 7 + -2p = (48 + 36p) Solving 7 + -2p = 48 + 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. 7 + -2p + -36p = 48 + 36p + -36p Combine like terms: -2p + -36p = -38p 7 + -38p = 48 + 36p + -36p Combine like terms: 36p + -36p = 0 7 + -38p = 48 + 0 7 + -38p = 48 Add '-7' to each side of the equation. 7 + -7 + -38p = 48 + -7 Combine like terms: 7 + -7 = 0 0 + -38p = 48 + -7 -38p = 48 + -7 Combine like terms: 48 + -7 = 41 -38p = 41 Divide each side by '-38'. p = -1.078947368 Simplifying p = -1.078947368
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