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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 = -21 -21 + 8p = -21 + -30p Add '21' to each side of the equation. -21 + 21 + 8p = -21 + 21 + -30p Combine like terms: -21 + 21 = 0 0 + 8p = -21 + 21 + -30p 8p = -21 + 21 + -30p Combine like terms: -21 + 21 = 0 8p = 0 + -30p 8p = -30p Solving 8p = -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. 8p + 30p = -30p + 30p Combine like terms: 8p + 30p = 38p 38p = -30p + 30p Combine like terms: -30p + 30p = 0 38p = 0 Divide each side by '38'. p = 0 Simplifying p = 0
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