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Simplifying -7(2p + -7) + 4(2 + 5p) = 39 Reorder the terms: -7(-7 + 2p) + 4(2 + 5p) = 39 (-7 * -7 + 2p * -7) + 4(2 + 5p) = 39 (49 + -14p) + 4(2 + 5p) = 39 49 + -14p + (2 * 4 + 5p * 4) = 39 49 + -14p + (8 + 20p) = 39 Reorder the terms: 49 + 8 + -14p + 20p = 39 Combine like terms: 49 + 8 = 57 57 + -14p + 20p = 39 Combine like terms: -14p + 20p = 6p 57 + 6p = 39 Solving 57 + 6p = 39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 6p = 39 + -57 Combine like terms: 57 + -57 = 0 0 + 6p = 39 + -57 6p = 39 + -57 Combine like terms: 39 + -57 = -18 6p = -18 Divide each side by '6'. p = -3 Simplifying p = -3
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