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Simplifying -290 = 5p + -5(10p + 4) Reorder the terms: -290 = 5p + -5(4 + 10p) -290 = 5p + (4 * -5 + 10p * -5) -290 = 5p + (-20 + -50p) Reorder the terms: -290 = -20 + 5p + -50p Combine like terms: 5p + -50p = -45p -290 = -20 + -45p Solving -290 = -20 + -45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '45p' to each side of the equation. -290 + 45p = -20 + -45p + 45p Combine like terms: -45p + 45p = 0 -290 + 45p = -20 + 0 -290 + 45p = -20 Add '290' to each side of the equation. -290 + 290 + 45p = -20 + 290 Combine like terms: -290 + 290 = 0 0 + 45p = -20 + 290 45p = -20 + 290 Combine like terms: -20 + 290 = 270 45p = 270 Divide each side by '45'. p = 6 Simplifying p = 6
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