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Simplifying -9(4p + 10) + 10p = 17 + 14p + 13 Reorder the terms: -9(10 + 4p) + 10p = 17 + 14p + 13 (10 * -9 + 4p * -9) + 10p = 17 + 14p + 13 (-90 + -36p) + 10p = 17 + 14p + 13 Combine like terms: -36p + 10p = -26p -90 + -26p = 17 + 14p + 13 Reorder the terms: -90 + -26p = 17 + 13 + 14p Combine like terms: 17 + 13 = 30 -90 + -26p = 30 + 14p Solving -90 + -26p = 30 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -90 + -26p + -14p = 30 + 14p + -14p Combine like terms: -26p + -14p = -40p -90 + -40p = 30 + 14p + -14p Combine like terms: 14p + -14p = 0 -90 + -40p = 30 + 0 -90 + -40p = 30 Add '90' to each side of the equation. -90 + 90 + -40p = 30 + 90 Combine like terms: -90 + 90 = 0 0 + -40p = 30 + 90 -40p = 30 + 90 Combine like terms: 30 + 90 = 120 -40p = 120 Divide each side by '-40'. p = -3 Simplifying p = -3
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