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Simplifying -7(3p + 4) + -31 = 2(2p + 8) Reorder the terms: -7(4 + 3p) + -31 = 2(2p + 8) (4 * -7 + 3p * -7) + -31 = 2(2p + 8) (-28 + -21p) + -31 = 2(2p + 8) Reorder the terms: -28 + -31 + -21p = 2(2p + 8) Combine like terms: -28 + -31 = -59 -59 + -21p = 2(2p + 8) Reorder the terms: -59 + -21p = 2(8 + 2p) -59 + -21p = (8 * 2 + 2p * 2) -59 + -21p = (16 + 4p) Solving -59 + -21p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -59 + -21p + -4p = 16 + 4p + -4p Combine like terms: -21p + -4p = -25p -59 + -25p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -59 + -25p = 16 + 0 -59 + -25p = 16 Add '59' to each side of the equation. -59 + 59 + -25p = 16 + 59 Combine like terms: -59 + 59 = 0 0 + -25p = 16 + 59 -25p = 16 + 59 Combine like terms: 16 + 59 = 75 -25p = 75 Divide each side by '-25'. p = -3 Simplifying p = -3
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