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Simplifying 21 + -3p = -4p + -8(p + -6) Reorder the terms: 21 + -3p = -4p + -8(-6 + p) 21 + -3p = -4p + (-6 * -8 + p * -8) 21 + -3p = -4p + (48 + -8p) Reorder the terms: 21 + -3p = 48 + -4p + -8p Combine like terms: -4p + -8p = -12p 21 + -3p = 48 + -12p Solving 21 + -3p = 48 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 21 + -3p + 12p = 48 + -12p + 12p Combine like terms: -3p + 12p = 9p 21 + 9p = 48 + -12p + 12p Combine like terms: -12p + 12p = 0 21 + 9p = 48 + 0 21 + 9p = 48 Add '-21' to each side of the equation. 21 + -21 + 9p = 48 + -21 Combine like terms: 21 + -21 = 0 0 + 9p = 48 + -21 9p = 48 + -21 Combine like terms: 48 + -21 = 27 9p = 27 Divide each side by '9'. p = 3 Simplifying p = 3
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