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Simplifying 8p + -21 = 6(5p + 3) + -3 Reorder the terms: -21 + 8p = 6(5p + 3) + -3 Reorder the terms: -21 + 8p = 6(3 + 5p) + -3 -21 + 8p = (3 * 6 + 5p * 6) + -3 -21 + 8p = (18 + 30p) + -3 Reorder the terms: -21 + 8p = 18 + -3 + 30p Combine like terms: 18 + -3 = 15 -21 + 8p = 15 + 30p Solving -21 + 8p = 15 + 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. -21 + 8p + -30p = 15 + 30p + -30p Combine like terms: 8p + -30p = -22p -21 + -22p = 15 + 30p + -30p Combine like terms: 30p + -30p = 0 -21 + -22p = 15 + 0 -21 + -22p = 15 Add '21' to each side of the equation. -21 + 21 + -22p = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -22p = 15 + 21 -22p = 15 + 21 Combine like terms: 15 + 21 = 36 -22p = 36 Divide each side by '-22'. p = -1.636363636 Simplifying p = -1.636363636
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