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Simplifying 2(4p + -1) = -5(4p + 6) Reorder the terms: 2(-1 + 4p) = -5(4p + 6) (-1 * 2 + 4p * 2) = -5(4p + 6) (-2 + 8p) = -5(4p + 6) Reorder the terms: -2 + 8p = -5(6 + 4p) -2 + 8p = (6 * -5 + 4p * -5) -2 + 8p = (-30 + -20p) Solving -2 + 8p = -30 + -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. -2 + 8p + 20p = -30 + -20p + 20p Combine like terms: 8p + 20p = 28p -2 + 28p = -30 + -20p + 20p Combine like terms: -20p + 20p = 0 -2 + 28p = -30 + 0 -2 + 28p = -30 Add '2' to each side of the equation. -2 + 2 + 28p = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 28p = -30 + 2 28p = -30 + 2 Combine like terms: -30 + 2 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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