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Simplifying -4(p + -5) = 6 + 3p Reorder the terms: -4(-5 + p) = 6 + 3p (-5 * -4 + p * -4) = 6 + 3p (20 + -4p) = 6 + 3p Solving 20 + -4p = 6 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 20 + -4p + -3p = 6 + 3p + -3p Combine like terms: -4p + -3p = -7p 20 + -7p = 6 + 3p + -3p Combine like terms: 3p + -3p = 0 20 + -7p = 6 + 0 20 + -7p = 6 Add '-20' to each side of the equation. 20 + -20 + -7p = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -7p = 6 + -20 -7p = 6 + -20 Combine like terms: 6 + -20 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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