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Simplifying 3(7p + -7) = -7(-3 + -9p) Reorder the terms: 3(-7 + 7p) = -7(-3 + -9p) (-7 * 3 + 7p * 3) = -7(-3 + -9p) (-21 + 21p) = -7(-3 + -9p) -21 + 21p = (-3 * -7 + -9p * -7) -21 + 21p = (21 + 63p) Solving -21 + 21p = 21 + 63p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-63p' to each side of the equation. -21 + 21p + -63p = 21 + 63p + -63p Combine like terms: 21p + -63p = -42p -21 + -42p = 21 + 63p + -63p Combine like terms: 63p + -63p = 0 -21 + -42p = 21 + 0 -21 + -42p = 21 Add '21' to each side of the equation. -21 + 21 + -42p = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -42p = 21 + 21 -42p = 21 + 21 Combine like terms: 21 + 21 = 42 -42p = 42 Divide each side by '-42'. p = -1 Simplifying p = -1
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