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Simplifying -5(7p + 20) = 8 + 17p + -16p Reorder the terms: -5(20 + 7p) = 8 + 17p + -16p (20 * -5 + 7p * -5) = 8 + 17p + -16p (-100 + -35p) = 8 + 17p + -16p Combine like terms: 17p + -16p = 1p -100 + -35p = 8 + 1p Solving -100 + -35p = 8 + 1p 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. -100 + -35p + -1p = 8 + 1p + -1p Combine like terms: -35p + -1p = -36p -100 + -36p = 8 + 1p + -1p Combine like terms: 1p + -1p = 0 -100 + -36p = 8 + 0 -100 + -36p = 8 Add '100' to each side of the equation. -100 + 100 + -36p = 8 + 100 Combine like terms: -100 + 100 = 0 0 + -36p = 8 + 100 -36p = 8 + 100 Combine like terms: 8 + 100 = 108 -36p = 108 Divide each side by '-36'. p = -3 Simplifying p = -3
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