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Simplifying 4(9p + 3) = 2(-8 + 8p) + -9p Reorder the terms: 4(3 + 9p) = 2(-8 + 8p) + -9p (3 * 4 + 9p * 4) = 2(-8 + 8p) + -9p (12 + 36p) = 2(-8 + 8p) + -9p 12 + 36p = (-8 * 2 + 8p * 2) + -9p 12 + 36p = (-16 + 16p) + -9p Combine like terms: 16p + -9p = 7p 12 + 36p = -16 + 7p Solving 12 + 36p = -16 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 12 + 36p + -7p = -16 + 7p + -7p Combine like terms: 36p + -7p = 29p 12 + 29p = -16 + 7p + -7p Combine like terms: 7p + -7p = 0 12 + 29p = -16 + 0 12 + 29p = -16 Add '-12' to each side of the equation. 12 + -12 + 29p = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 29p = -16 + -12 29p = -16 + -12 Combine like terms: -16 + -12 = -28 29p = -28 Divide each side by '29'. p = -0.9655172414 Simplifying p = -0.9655172414
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