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Simplifying 2p + -5 = 5(p + -4) Reorder the terms: -5 + 2p = 5(p + -4) Reorder the terms: -5 + 2p = 5(-4 + p) -5 + 2p = (-4 * 5 + p * 5) -5 + 2p = (-20 + 5p) Solving -5 + 2p = -20 + 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. -5 + 2p + -5p = -20 + 5p + -5p Combine like terms: 2p + -5p = -3p -5 + -3p = -20 + 5p + -5p Combine like terms: 5p + -5p = 0 -5 + -3p = -20 + 0 -5 + -3p = -20 Add '5' to each side of the equation. -5 + 5 + -3p = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -3p = -20 + 5 -3p = -20 + 5 Combine like terms: -20 + 5 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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