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Simplifying -3p + 8 = 5(10p + 3) Reorder the terms: 8 + -3p = 5(10p + 3) Reorder the terms: 8 + -3p = 5(3 + 10p) 8 + -3p = (3 * 5 + 10p * 5) 8 + -3p = (15 + 50p) Solving 8 + -3p = 15 + 50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-50p' to each side of the equation. 8 + -3p + -50p = 15 + 50p + -50p Combine like terms: -3p + -50p = -53p 8 + -53p = 15 + 50p + -50p Combine like terms: 50p + -50p = 0 8 + -53p = 15 + 0 8 + -53p = 15 Add '-8' to each side of the equation. 8 + -8 + -53p = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -53p = 15 + -8 -53p = 15 + -8 Combine like terms: 15 + -8 = 7 -53p = 7 Divide each side by '-53'. p = -0.1320754717 Simplifying p = -0.1320754717
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