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Simplifying 2 + 7(p + -8) = -2(5p + -7) Reorder the terms: 2 + 7(-8 + p) = -2(5p + -7) 2 + (-8 * 7 + p * 7) = -2(5p + -7) 2 + (-56 + 7p) = -2(5p + -7) Combine like terms: 2 + -56 = -54 -54 + 7p = -2(5p + -7) Reorder the terms: -54 + 7p = -2(-7 + 5p) -54 + 7p = (-7 * -2 + 5p * -2) -54 + 7p = (14 + -10p) Solving -54 + 7p = 14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -54 + 7p + 10p = 14 + -10p + 10p Combine like terms: 7p + 10p = 17p -54 + 17p = 14 + -10p + 10p Combine like terms: -10p + 10p = 0 -54 + 17p = 14 + 0 -54 + 17p = 14 Add '54' to each side of the equation. -54 + 54 + 17p = 14 + 54 Combine like terms: -54 + 54 = 0 0 + 17p = 14 + 54 17p = 14 + 54 Combine like terms: 14 + 54 = 68 17p = 68 Divide each side by '17'. p = 4 Simplifying p = 4
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