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Simplifying -7(2p + 2) + -30 = 4(5p + 6) Reorder the terms: -7(2 + 2p) + -30 = 4(5p + 6) (2 * -7 + 2p * -7) + -30 = 4(5p + 6) (-14 + -14p) + -30 = 4(5p + 6) Reorder the terms: -14 + -30 + -14p = 4(5p + 6) Combine like terms: -14 + -30 = -44 -44 + -14p = 4(5p + 6) Reorder the terms: -44 + -14p = 4(6 + 5p) -44 + -14p = (6 * 4 + 5p * 4) -44 + -14p = (24 + 20p) Solving -44 + -14p = 24 + 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. -44 + -14p + -20p = 24 + 20p + -20p Combine like terms: -14p + -20p = -34p -44 + -34p = 24 + 20p + -20p Combine like terms: 20p + -20p = 0 -44 + -34p = 24 + 0 -44 + -34p = 24 Add '44' to each side of the equation. -44 + 44 + -34p = 24 + 44 Combine like terms: -44 + 44 = 0 0 + -34p = 24 + 44 -34p = 24 + 44 Combine like terms: 24 + 44 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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