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Simplifying -35 + 4p = 3p + -4(-1p + 8) Reorder the terms: -35 + 4p = 3p + -4(8 + -1p) -35 + 4p = 3p + (8 * -4 + -1p * -4) -35 + 4p = 3p + (-32 + 4p) Reorder the terms: -35 + 4p = -32 + 3p + 4p Combine like terms: 3p + 4p = 7p -35 + 4p = -32 + 7p Solving -35 + 4p = -32 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -35 + 4p + -7p = -32 + 7p + -7p Combine like terms: 4p + -7p = -3p -35 + -3p = -32 + 7p + -7p Combine like terms: 7p + -7p = 0 -35 + -3p = -32 + 0 -35 + -3p = -32 Add '35' to each side of the equation. -35 + 35 + -3p = -32 + 35 Combine like terms: -35 + 35 = 0 0 + -3p = -32 + 35 -3p = -32 + 35 Combine like terms: -32 + 35 = 3 -3p = 3 Divide each side by '-3'. p = -1 Simplifying p = -1
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