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Simplifying 5(2p + -2) = -5p + -40 Reorder the terms: 5(-2 + 2p) = -5p + -40 (-2 * 5 + 2p * 5) = -5p + -40 (-10 + 10p) = -5p + -40 Reorder the terms: -10 + 10p = -40 + -5p Solving -10 + 10p = -40 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -10 + 10p + 5p = -40 + -5p + 5p Combine like terms: 10p + 5p = 15p -10 + 15p = -40 + -5p + 5p Combine like terms: -5p + 5p = 0 -10 + 15p = -40 + 0 -10 + 15p = -40 Add '10' to each side of the equation. -10 + 10 + 15p = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 15p = -40 + 10 15p = -40 + 10 Combine like terms: -40 + 10 = -30 15p = -30 Divide each side by '15'. p = -2 Simplifying p = -2
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