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Simplifying -7 + 3p = 5p + 5(8p + 7) Reorder the terms: -7 + 3p = 5p + 5(7 + 8p) -7 + 3p = 5p + (7 * 5 + 8p * 5) -7 + 3p = 5p + (35 + 40p) Reorder the terms: -7 + 3p = 35 + 5p + 40p Combine like terms: 5p + 40p = 45p -7 + 3p = 35 + 45p Solving -7 + 3p = 35 + 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. -7 + 3p + -45p = 35 + 45p + -45p Combine like terms: 3p + -45p = -42p -7 + -42p = 35 + 45p + -45p Combine like terms: 45p + -45p = 0 -7 + -42p = 35 + 0 -7 + -42p = 35 Add '7' to each side of the equation. -7 + 7 + -42p = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -42p = 35 + 7 -42p = 35 + 7 Combine like terms: 35 + 7 = 42 -42p = 42 Divide each side by '-42'. p = -1 Simplifying p = -1
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