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Simplifying 8p + 4(p + -5) = 6p + 4 Reorder the terms: 8p + 4(-5 + p) = 6p + 4 8p + (-5 * 4 + p * 4) = 6p + 4 8p + (-20 + 4p) = 6p + 4 Reorder the terms: -20 + 8p + 4p = 6p + 4 Combine like terms: 8p + 4p = 12p -20 + 12p = 6p + 4 Reorder the terms: -20 + 12p = 4 + 6p Solving -20 + 12p = 4 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + 12p + -6p = 4 + 6p + -6p Combine like terms: 12p + -6p = 6p -20 + 6p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 6p = 4 + 0 -20 + 6p = 4 Add '20' to each side of the equation. -20 + 20 + 6p = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6p = 4 + 20 6p = 4 + 20 Combine like terms: 4 + 20 = 24 6p = 24 Divide each side by '6'. p = 4 Simplifying p = 4
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