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Simplifying -7(4 + -3p) + -50 = -3(8 + -9p) (4 * -7 + -3p * -7) + -50 = -3(8 + -9p) (-28 + 21p) + -50 = -3(8 + -9p) Reorder the terms: -28 + -50 + 21p = -3(8 + -9p) Combine like terms: -28 + -50 = -78 -78 + 21p = -3(8 + -9p) -78 + 21p = (8 * -3 + -9p * -3) -78 + 21p = (-24 + 27p) Solving -78 + 21p = -24 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. -78 + 21p + -27p = -24 + 27p + -27p Combine like terms: 21p + -27p = -6p -78 + -6p = -24 + 27p + -27p Combine like terms: 27p + -27p = 0 -78 + -6p = -24 + 0 -78 + -6p = -24 Add '78' to each side of the equation. -78 + 78 + -6p = -24 + 78 Combine like terms: -78 + 78 = 0 0 + -6p = -24 + 78 -6p = -24 + 78 Combine like terms: -24 + 78 = 54 -6p = 54 Divide each side by '-6'. p = -9 Simplifying p = -9
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