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Simplifying 6p + 30p + -10 = 2 + 4p + 2 Reorder the terms: -10 + 6p + 30p = 2 + 4p + 2 Combine like terms: 6p + 30p = 36p -10 + 36p = 2 + 4p + 2 Reorder the terms: -10 + 36p = 2 + 2 + 4p Combine like terms: 2 + 2 = 4 -10 + 36p = 4 + 4p Solving -10 + 36p = 4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -10 + 36p + -4p = 4 + 4p + -4p Combine like terms: 36p + -4p = 32p -10 + 32p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 32p = 4 + 0 -10 + 32p = 4 Add '10' to each side of the equation. -10 + 10 + 32p = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 32p = 4 + 10 32p = 4 + 10 Combine like terms: 4 + 10 = 14 32p = 14 Divide each side by '32'. p = 0.4375 Simplifying p = 0.4375
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