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Simplifying 2(5p + 1) = -8(4p + 6) + -8p Reorder the terms: 2(1 + 5p) = -8(4p + 6) + -8p (1 * 2 + 5p * 2) = -8(4p + 6) + -8p (2 + 10p) = -8(4p + 6) + -8p Reorder the terms: 2 + 10p = -8(6 + 4p) + -8p 2 + 10p = (6 * -8 + 4p * -8) + -8p 2 + 10p = (-48 + -32p) + -8p Combine like terms: -32p + -8p = -40p 2 + 10p = -48 + -40p Solving 2 + 10p = -48 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 2 + 10p + 40p = -48 + -40p + 40p Combine like terms: 10p + 40p = 50p 2 + 50p = -48 + -40p + 40p Combine like terms: -40p + 40p = 0 2 + 50p = -48 + 0 2 + 50p = -48 Add '-2' to each side of the equation. 2 + -2 + 50p = -48 + -2 Combine like terms: 2 + -2 = 0 0 + 50p = -48 + -2 50p = -48 + -2 Combine like terms: -48 + -2 = -50 50p = -50 Divide each side by '50'. p = -1 Simplifying p = -1
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