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Simplifying -8(p + -6) = 7 + 3(4 + 7p) Reorder the terms: -8(-6 + p) = 7 + 3(4 + 7p) (-6 * -8 + p * -8) = 7 + 3(4 + 7p) (48 + -8p) = 7 + 3(4 + 7p) 48 + -8p = 7 + (4 * 3 + 7p * 3) 48 + -8p = 7 + (12 + 21p) Combine like terms: 7 + 12 = 19 48 + -8p = 19 + 21p Solving 48 + -8p = 19 + 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. 48 + -8p + -21p = 19 + 21p + -21p Combine like terms: -8p + -21p = -29p 48 + -29p = 19 + 21p + -21p Combine like terms: 21p + -21p = 0 48 + -29p = 19 + 0 48 + -29p = 19 Add '-48' to each side of the equation. 48 + -48 + -29p = 19 + -48 Combine like terms: 48 + -48 = 0 0 + -29p = 19 + -48 -29p = 19 + -48 Combine like terms: 19 + -48 = -29 -29p = -29 Divide each side by '-29'. p = 1 Simplifying p = 1
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