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Simplifying 4p + 2 = (-6p + -7) + 4(8 + 9p) Reorder the terms: 2 + 4p = (-6p + -7) + 4(8 + 9p) Reorder the terms: 2 + 4p = (-7 + -6p) + 4(8 + 9p) Remove parenthesis around (-7 + -6p) 2 + 4p = -7 + -6p + 4(8 + 9p) 2 + 4p = -7 + -6p + (8 * 4 + 9p * 4) 2 + 4p = -7 + -6p + (32 + 36p) Reorder the terms: 2 + 4p = -7 + 32 + -6p + 36p Combine like terms: -7 + 32 = 25 2 + 4p = 25 + -6p + 36p Combine like terms: -6p + 36p = 30p 2 + 4p = 25 + 30p Solving 2 + 4p = 25 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 2 + 4p + -30p = 25 + 30p + -30p Combine like terms: 4p + -30p = -26p 2 + -26p = 25 + 30p + -30p Combine like terms: 30p + -30p = 0 2 + -26p = 25 + 0 2 + -26p = 25 Add '-2' to each side of the equation. 2 + -2 + -26p = 25 + -2 Combine like terms: 2 + -2 = 0 0 + -26p = 25 + -2 -26p = 25 + -2 Combine like terms: 25 + -2 = 23 -26p = 23 Divide each side by '-26'. p = -0.8846153846 Simplifying p = -0.8846153846
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