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Simplifying 3p + -5(5 + 7p) = -1(p + -6) 3p + (5 * -5 + 7p * -5) = -1(p + -6) 3p + (-25 + -35p) = -1(p + -6) Reorder the terms: -25 + 3p + -35p = -1(p + -6) Combine like terms: 3p + -35p = -32p -25 + -32p = -1(p + -6) Reorder the terms: -25 + -32p = -1(-6 + p) -25 + -32p = (-6 * -1 + p * -1) -25 + -32p = (6 + -1p) Solving -25 + -32p = 6 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -25 + -32p + p = 6 + -1p + p Combine like terms: -32p + p = -31p -25 + -31p = 6 + -1p + p Combine like terms: -1p + p = 0 -25 + -31p = 6 + 0 -25 + -31p = 6 Add '25' to each side of the equation. -25 + 25 + -31p = 6 + 25 Combine like terms: -25 + 25 = 0 0 + -31p = 6 + 25 -31p = 6 + 25 Combine like terms: 6 + 25 = 31 -31p = 31 Divide each side by '-31'. p = -1 Simplifying p = -1
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