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Simplifying 5(2p + 10) = 10(p + 4) + -40p Reorder the terms: 5(10 + 2p) = 10(p + 4) + -40p (10 * 5 + 2p * 5) = 10(p + 4) + -40p (50 + 10p) = 10(p + 4) + -40p Reorder the terms: 50 + 10p = 10(4 + p) + -40p 50 + 10p = (4 * 10 + p * 10) + -40p 50 + 10p = (40 + 10p) + -40p Combine like terms: 10p + -40p = -30p 50 + 10p = 40 + -30p Solving 50 + 10p = 40 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 50 + 10p + 30p = 40 + -30p + 30p Combine like terms: 10p + 30p = 40p 50 + 40p = 40 + -30p + 30p Combine like terms: -30p + 30p = 0 50 + 40p = 40 + 0 50 + 40p = 40 Add '-50' to each side of the equation. 50 + -50 + 40p = 40 + -50 Combine like terms: 50 + -50 = 0 0 + 40p = 40 + -50 40p = 40 + -50 Combine like terms: 40 + -50 = -10 40p = -10 Divide each side by '40'. p = -0.25 Simplifying p = -0.25
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