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Simplifying 8(p + -7) = -3p + 21 Reorder the terms: 8(-7 + p) = -3p + 21 (-7 * 8 + p * 8) = -3p + 21 (-56 + 8p) = -3p + 21 Reorder the terms: -56 + 8p = 21 + -3p Solving -56 + 8p = 21 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -56 + 8p + 3p = 21 + -3p + 3p Combine like terms: 8p + 3p = 11p -56 + 11p = 21 + -3p + 3p Combine like terms: -3p + 3p = 0 -56 + 11p = 21 + 0 -56 + 11p = 21 Add '56' to each side of the equation. -56 + 56 + 11p = 21 + 56 Combine like terms: -56 + 56 = 0 0 + 11p = 21 + 56 11p = 21 + 56 Combine like terms: 21 + 56 = 77 11p = 77 Divide each side by '11'. p = 7 Simplifying p = 7
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