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Simplifying -21 + -7p = 7(p + -7) Reorder the terms: -21 + -7p = 7(-7 + p) -21 + -7p = (-7 * 7 + p * 7) -21 + -7p = (-49 + 7p) Solving -21 + -7p = -49 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -21 + -7p + -7p = -49 + 7p + -7p Combine like terms: -7p + -7p = -14p -21 + -14p = -49 + 7p + -7p Combine like terms: 7p + -7p = 0 -21 + -14p = -49 + 0 -21 + -14p = -49 Add '21' to each side of the equation. -21 + 21 + -14p = -49 + 21 Combine like terms: -21 + 21 = 0 0 + -14p = -49 + 21 -14p = -49 + 21 Combine like terms: -49 + 21 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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