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Simplifying -8p + -21 = 7(p + -7) + -8p Reorder the terms: -21 + -8p = 7(p + -7) + -8p Reorder the terms: -21 + -8p = 7(-7 + p) + -8p -21 + -8p = (-7 * 7 + p * 7) + -8p -21 + -8p = (-49 + 7p) + -8p Combine like terms: 7p + -8p = -1p -21 + -8p = -49 + -1p Solving -21 + -8p = -49 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -21 + -8p + p = -49 + -1p + p Combine like terms: -8p + p = -7p -21 + -7p = -49 + -1p + p Combine like terms: -1p + p = 0 -21 + -7p = -49 + 0 -21 + -7p = -49 Add '21' to each side of the equation. -21 + 21 + -7p = -49 + 21 Combine like terms: -21 + 21 = 0 0 + -7p = -49 + 21 -7p = -49 + 21 Combine like terms: -49 + 21 = -28 -7p = -28 Divide each side by '-7'. p = 4 Simplifying p = 4
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