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Simplifying 7p + -30 = -1 + 5(3p + 7) Reorder the terms: -30 + 7p = -1 + 5(3p + 7) Reorder the terms: -30 + 7p = -1 + 5(7 + 3p) -30 + 7p = -1 + (7 * 5 + 3p * 5) -30 + 7p = -1 + (35 + 15p) Combine like terms: -1 + 35 = 34 -30 + 7p = 34 + 15p Solving -30 + 7p = 34 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -30 + 7p + -15p = 34 + 15p + -15p Combine like terms: 7p + -15p = -8p -30 + -8p = 34 + 15p + -15p Combine like terms: 15p + -15p = 0 -30 + -8p = 34 + 0 -30 + -8p = 34 Add '30' to each side of the equation. -30 + 30 + -8p = 34 + 30 Combine like terms: -30 + 30 = 0 0 + -8p = 34 + 30 -8p = 34 + 30 Combine like terms: 34 + 30 = 64 -8p = 64 Divide each side by '-8'. p = -8 Simplifying p = -8
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