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Simplifying -7(2p + 4) + -34 = 5(4p + 8) Reorder the terms: -7(4 + 2p) + -34 = 5(4p + 8) (4 * -7 + 2p * -7) + -34 = 5(4p + 8) (-28 + -14p) + -34 = 5(4p + 8) Reorder the terms: -28 + -34 + -14p = 5(4p + 8) Combine like terms: -28 + -34 = -62 -62 + -14p = 5(4p + 8) Reorder the terms: -62 + -14p = 5(8 + 4p) -62 + -14p = (8 * 5 + 4p * 5) -62 + -14p = (40 + 20p) Solving -62 + -14p = 40 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -62 + -14p + -20p = 40 + 20p + -20p Combine like terms: -14p + -20p = -34p -62 + -34p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 -62 + -34p = 40 + 0 -62 + -34p = 40 Add '62' to each side of the equation. -62 + 62 + -34p = 40 + 62 Combine like terms: -62 + 62 = 0 0 + -34p = 40 + 62 -34p = 40 + 62 Combine like terms: 40 + 62 = 102 -34p = 102 Divide each side by '-34'. p = -3 Simplifying p = -3
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