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Simplifying -6p + 7 = 32p + -3 + -4 + -10 + 4p Reorder the terms: 7 + -6p = 32p + -3 + -4 + -10 + 4p Reorder the terms: 7 + -6p = -3 + -4 + -10 + 32p + 4p Combine like terms: -3 + -4 = -7 7 + -6p = -7 + -10 + 32p + 4p Combine like terms: -7 + -10 = -17 7 + -6p = -17 + 32p + 4p Combine like terms: 32p + 4p = 36p 7 + -6p = -17 + 36p Solving 7 + -6p = -17 + 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 + -6p + -36p = -17 + 36p + -36p Combine like terms: -6p + -36p = -42p 7 + -42p = -17 + 36p + -36p Combine like terms: 36p + -36p = 0 7 + -42p = -17 + 0 7 + -42p = -17 Add '-7' to each side of the equation. 7 + -7 + -42p = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -42p = -17 + -7 -42p = -17 + -7 Combine like terms: -17 + -7 = -24 -42p = -24 Divide each side by '-42'. p = 0.5714285714 Simplifying p = 0.5714285714
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