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Simplifying -7(2p + 2) + -22 = 4(4p + 6) Reorder the terms: -7(2 + 2p) + -22 = 4(4p + 6) (2 * -7 + 2p * -7) + -22 = 4(4p + 6) (-14 + -14p) + -22 = 4(4p + 6) Reorder the terms: -14 + -22 + -14p = 4(4p + 6) Combine like terms: -14 + -22 = -36 -36 + -14p = 4(4p + 6) Reorder the terms: -36 + -14p = 4(6 + 4p) -36 + -14p = (6 * 4 + 4p * 4) -36 + -14p = (24 + 16p) Solving -36 + -14p = 24 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -36 + -14p + -16p = 24 + 16p + -16p Combine like terms: -14p + -16p = -30p -36 + -30p = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -36 + -30p = 24 + 0 -36 + -30p = 24 Add '36' to each side of the equation. -36 + 36 + -30p = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -30p = 24 + 36 -30p = 24 + 36 Combine like terms: 24 + 36 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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