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Simplifying 7(p + -3) = -7(-3p + 1) Reorder the terms: 7(-3 + p) = -7(-3p + 1) (-3 * 7 + p * 7) = -7(-3p + 1) (-21 + 7p) = -7(-3p + 1) Reorder the terms: -21 + 7p = -7(1 + -3p) -21 + 7p = (1 * -7 + -3p * -7) -21 + 7p = (-7 + 21p) Solving -21 + 7p = -7 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -21 + 7p + -21p = -7 + 21p + -21p Combine like terms: 7p + -21p = -14p -21 + -14p = -7 + 21p + -21p Combine like terms: 21p + -21p = 0 -21 + -14p = -7 + 0 -21 + -14p = -7 Add '21' to each side of the equation. -21 + 21 + -14p = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -14p = -7 + 21 -14p = -7 + 21 Combine like terms: -7 + 21 = 14 -14p = 14 Divide each side by '-14'. p = -1 Simplifying p = -1
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