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Simplifying -3p + 7 = 5(10p + 6) Reorder the terms: 7 + -3p = 5(10p + 6) Reorder the terms: 7 + -3p = 5(6 + 10p) 7 + -3p = (6 * 5 + 10p * 5) 7 + -3p = (30 + 50p) Solving 7 + -3p = 30 + 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. 7 + -3p + -50p = 30 + 50p + -50p Combine like terms: -3p + -50p = -53p 7 + -53p = 30 + 50p + -50p Combine like terms: 50p + -50p = 0 7 + -53p = 30 + 0 7 + -53p = 30 Add '-7' to each side of the equation. 7 + -7 + -53p = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -53p = 30 + -7 -53p = 30 + -7 Combine like terms: 30 + -7 = 23 -53p = 23 Divide each side by '-53'. p = -0.4339622642 Simplifying p = -0.4339622642
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