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Simplifying -3p + 8 = 5(10p + 1) Reorder the terms: 8 + -3p = 5(10p + 1) Reorder the terms: 8 + -3p = 5(1 + 10p) 8 + -3p = (1 * 5 + 10p * 5) 8 + -3p = (5 + 50p) Solving 8 + -3p = 5 + 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 = 5 + 50p + -50p Combine like terms: -3p + -50p = -53p 8 + -53p = 5 + 50p + -50p Combine like terms: 50p + -50p = 0 8 + -53p = 5 + 0 8 + -53p = 5 Add '-8' to each side of the equation. 8 + -8 + -53p = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -53p = 5 + -8 -53p = 5 + -8 Combine like terms: 5 + -8 = -3 -53p = -3 Divide each side by '-53'. p = 0.05660377358 Simplifying p = 0.05660377358
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