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Simplifying -21p + -5(4 + -5p) = (p + -5) + -2 -21p + (4 * -5 + -5p * -5) = (p + -5) + -2 -21p + (-20 + 25p) = (p + -5) + -2 Reorder the terms: -20 + -21p + 25p = (p + -5) + -2 Combine like terms: -21p + 25p = 4p -20 + 4p = (p + -5) + -2 Reorder the terms: -20 + 4p = (-5 + p) + -2 Remove parenthesis around (-5 + p) -20 + 4p = -5 + p + -2 Reorder the terms: -20 + 4p = -5 + -2 + p Combine like terms: -5 + -2 = -7 -20 + 4p = -7 + p Solving -20 + 4p = -7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -20 + 4p + -1p = -7 + p + -1p Combine like terms: 4p + -1p = 3p -20 + 3p = -7 + p + -1p Combine like terms: p + -1p = 0 -20 + 3p = -7 + 0 -20 + 3p = -7 Add '20' to each side of the equation. -20 + 20 + 3p = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -7 + 20 3p = -7 + 20 Combine like terms: -7 + 20 = 13 3p = 13 Divide each side by '3'. p = 4.333333333 Simplifying p = 4.333333333
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