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Simplifying -3p + 8 = 6(5p + 7) Reorder the terms: 8 + -3p = 6(5p + 7) Reorder the terms: 8 + -3p = 6(7 + 5p) 8 + -3p = (7 * 6 + 5p * 6) 8 + -3p = (42 + 30p) Solving 8 + -3p = 42 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 8 + -3p + -30p = 42 + 30p + -30p Combine like terms: -3p + -30p = -33p 8 + -33p = 42 + 30p + -30p Combine like terms: 30p + -30p = 0 8 + -33p = 42 + 0 8 + -33p = 42 Add '-8' to each side of the equation. 8 + -8 + -33p = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -33p = 42 + -8 -33p = 42 + -8 Combine like terms: 42 + -8 = 34 -33p = 34 Divide each side by '-33'. p = -1.03030303 Simplifying p = -1.03030303
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