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Simplifying 7(p + 3) = 4(-3 + -1p) Reorder the terms: 7(3 + p) = 4(-3 + -1p) (3 * 7 + p * 7) = 4(-3 + -1p) (21 + 7p) = 4(-3 + -1p) 21 + 7p = (-3 * 4 + -1p * 4) 21 + 7p = (-12 + -4p) Solving 21 + 7p = -12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 21 + 7p + 4p = -12 + -4p + 4p Combine like terms: 7p + 4p = 11p 21 + 11p = -12 + -4p + 4p Combine like terms: -4p + 4p = 0 21 + 11p = -12 + 0 21 + 11p = -12 Add '-21' to each side of the equation. 21 + -21 + 11p = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 11p = -12 + -21 11p = -12 + -21 Combine like terms: -12 + -21 = -33 11p = -33 Divide each side by '11'. p = -3 Simplifying p = -3
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