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Simplifying -10 + -3p = 4p + 8(5 + -4p) -10 + -3p = 4p + (5 * 8 + -4p * 8) -10 + -3p = 4p + (40 + -32p) Reorder the terms: -10 + -3p = 40 + 4p + -32p Combine like terms: 4p + -32p = -28p -10 + -3p = 40 + -28p Solving -10 + -3p = 40 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. -10 + -3p + 28p = 40 + -28p + 28p Combine like terms: -3p + 28p = 25p -10 + 25p = 40 + -28p + 28p Combine like terms: -28p + 28p = 0 -10 + 25p = 40 + 0 -10 + 25p = 40 Add '10' to each side of the equation. -10 + 10 + 25p = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 25p = 40 + 10 25p = 40 + 10 Combine like terms: 40 + 10 = 50 25p = 50 Divide each side by '25'. p = 2 Simplifying p = 2
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