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Simplifying 6p + 3 = 42 + -3p + -21 Reorder the terms: 3 + 6p = 42 + -3p + -21 Reorder the terms: 3 + 6p = 42 + -21 + -3p Combine like terms: 42 + -21 = 21 3 + 6p = 21 + -3p Solving 3 + 6p = 21 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 3 + 6p + 3p = 21 + -3p + 3p Combine like terms: 6p + 3p = 9p 3 + 9p = 21 + -3p + 3p Combine like terms: -3p + 3p = 0 3 + 9p = 21 + 0 3 + 9p = 21 Add '-3' to each side of the equation. 3 + -3 + 9p = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 21 + -3 9p = 21 + -3 Combine like terms: 21 + -3 = 18 9p = 18 Divide each side by '9'. p = 2 Simplifying p = 2
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