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Simplifying -2p + -5 = 5(-1p + -5) + 5(-8 + 3p) Reorder the terms: -5 + -2p = 5(-1p + -5) + 5(-8 + 3p) Reorder the terms: -5 + -2p = 5(-5 + -1p) + 5(-8 + 3p) -5 + -2p = (-5 * 5 + -1p * 5) + 5(-8 + 3p) -5 + -2p = (-25 + -5p) + 5(-8 + 3p) -5 + -2p = -25 + -5p + (-8 * 5 + 3p * 5) -5 + -2p = -25 + -5p + (-40 + 15p) Reorder the terms: -5 + -2p = -25 + -40 + -5p + 15p Combine like terms: -25 + -40 = -65 -5 + -2p = -65 + -5p + 15p Combine like terms: -5p + 15p = 10p -5 + -2p = -65 + 10p Solving -5 + -2p = -65 + 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. -5 + -2p + -10p = -65 + 10p + -10p Combine like terms: -2p + -10p = -12p -5 + -12p = -65 + 10p + -10p Combine like terms: 10p + -10p = 0 -5 + -12p = -65 + 0 -5 + -12p = -65 Add '5' to each side of the equation. -5 + 5 + -12p = -65 + 5 Combine like terms: -5 + 5 = 0 0 + -12p = -65 + 5 -12p = -65 + 5 Combine like terms: -65 + 5 = -60 -12p = -60 Divide each side by '-12'. p = 5 Simplifying p = 5
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