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Simplifying -26 + 7p = 5(3p + 6) Reorder the terms: -26 + 7p = 5(6 + 3p) -26 + 7p = (6 * 5 + 3p * 5) -26 + 7p = (30 + 15p) Solving -26 + 7p = 30 + 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. -26 + 7p + -15p = 30 + 15p + -15p Combine like terms: 7p + -15p = -8p -26 + -8p = 30 + 15p + -15p Combine like terms: 15p + -15p = 0 -26 + -8p = 30 + 0 -26 + -8p = 30 Add '26' to each side of the equation. -26 + 26 + -8p = 30 + 26 Combine like terms: -26 + 26 = 0 0 + -8p = 30 + 26 -8p = 30 + 26 Combine like terms: 30 + 26 = 56 -8p = 56 Divide each side by '-8'. p = -7 Simplifying p = -7
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