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Simplifying 40p + 10 = 10(p + -5) Reorder the terms: 10 + 40p = 10(p + -5) Reorder the terms: 10 + 40p = 10(-5 + p) 10 + 40p = (-5 * 10 + p * 10) 10 + 40p = (-50 + 10p) Solving 10 + 40p = -50 + 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. 10 + 40p + -10p = -50 + 10p + -10p Combine like terms: 40p + -10p = 30p 10 + 30p = -50 + 10p + -10p Combine like terms: 10p + -10p = 0 10 + 30p = -50 + 0 10 + 30p = -50 Add '-10' to each side of the equation. 10 + -10 + 30p = -50 + -10 Combine like terms: 10 + -10 = 0 0 + 30p = -50 + -10 30p = -50 + -10 Combine like terms: -50 + -10 = -60 30p = -60 Divide each side by '30'. p = -2 Simplifying p = -2
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