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Simplifying 3p + -5(6 + 7p) = 36 + p 3p + (6 * -5 + 7p * -5) = 36 + p 3p + (-30 + -35p) = 36 + p Reorder the terms: -30 + 3p + -35p = 36 + p Combine like terms: 3p + -35p = -32p -30 + -32p = 36 + p Solving -30 + -32p = 36 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -30 + -32p + -1p = 36 + p + -1p Combine like terms: -32p + -1p = -33p -30 + -33p = 36 + p + -1p Combine like terms: p + -1p = 0 -30 + -33p = 36 + 0 -30 + -33p = 36 Add '30' to each side of the equation. -30 + 30 + -33p = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -33p = 36 + 30 -33p = 36 + 30 Combine like terms: 36 + 30 = 66 -33p = 66 Divide each side by '-33'. p = -2 Simplifying p = -2
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