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Simplifying -17p + -5(3 + -5p) = 4(p + -3) + -35 -17p + (3 * -5 + -5p * -5) = 4(p + -3) + -35 -17p + (-15 + 25p) = 4(p + -3) + -35 Reorder the terms: -15 + -17p + 25p = 4(p + -3) + -35 Combine like terms: -17p + 25p = 8p -15 + 8p = 4(p + -3) + -35 Reorder the terms: -15 + 8p = 4(-3 + p) + -35 -15 + 8p = (-3 * 4 + p * 4) + -35 -15 + 8p = (-12 + 4p) + -35 Reorder the terms: -15 + 8p = -12 + -35 + 4p Combine like terms: -12 + -35 = -47 -15 + 8p = -47 + 4p Solving -15 + 8p = -47 + 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. -15 + 8p + -4p = -47 + 4p + -4p Combine like terms: 8p + -4p = 4p -15 + 4p = -47 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 4p = -47 + 0 -15 + 4p = -47 Add '15' to each side of the equation. -15 + 15 + 4p = -47 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -47 + 15 4p = -47 + 15 Combine like terms: -47 + 15 = -32 4p = -32 Divide each side by '4'. p = -8 Simplifying p = -8
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