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Simplifying 2p + -5(p + -40) = 2p + 15 Reorder the terms: 2p + -5(-40 + p) = 2p + 15 2p + (-40 * -5 + p * -5) = 2p + 15 2p + (200 + -5p) = 2p + 15 Reorder the terms: 200 + 2p + -5p = 2p + 15 Combine like terms: 2p + -5p = -3p 200 + -3p = 2p + 15 Reorder the terms: 200 + -3p = 15 + 2p Solving 200 + -3p = 15 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 200 + -3p + -2p = 15 + 2p + -2p Combine like terms: -3p + -2p = -5p 200 + -5p = 15 + 2p + -2p Combine like terms: 2p + -2p = 0 200 + -5p = 15 + 0 200 + -5p = 15 Add '-200' to each side of the equation. 200 + -200 + -5p = 15 + -200 Combine like terms: 200 + -200 = 0 0 + -5p = 15 + -200 -5p = 15 + -200 Combine like terms: 15 + -200 = -185 -5p = -185 Divide each side by '-5'. p = 37 Simplifying p = 37
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