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Simplifying -21 + -7p = 5p + 3(3p + 7) Reorder the terms: -21 + -7p = 5p + 3(7 + 3p) -21 + -7p = 5p + (7 * 3 + 3p * 3) -21 + -7p = 5p + (21 + 9p) Reorder the terms: -21 + -7p = 21 + 5p + 9p Combine like terms: 5p + 9p = 14p -21 + -7p = 21 + 14p Solving -21 + -7p = 21 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -21 + -7p + -14p = 21 + 14p + -14p Combine like terms: -7p + -14p = -21p -21 + -21p = 21 + 14p + -14p Combine like terms: 14p + -14p = 0 -21 + -21p = 21 + 0 -21 + -21p = 21 Add '21' to each side of the equation. -21 + 21 + -21p = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -21p = 21 + 21 -21p = 21 + 21 Combine like terms: 21 + 21 = 42 -21p = 42 Divide each side by '-21'. p = -2 Simplifying p = -2
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