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Simplifying -21p + -5(5 + -6p) = 4(p + -5) + -35 -21p + (5 * -5 + -6p * -5) = 4(p + -5) + -35 -21p + (-25 + 30p) = 4(p + -5) + -35 Reorder the terms: -25 + -21p + 30p = 4(p + -5) + -35 Combine like terms: -21p + 30p = 9p -25 + 9p = 4(p + -5) + -35 Reorder the terms: -25 + 9p = 4(-5 + p) + -35 -25 + 9p = (-5 * 4 + p * 4) + -35 -25 + 9p = (-20 + 4p) + -35 Reorder the terms: -25 + 9p = -20 + -35 + 4p Combine like terms: -20 + -35 = -55 -25 + 9p = -55 + 4p Solving -25 + 9p = -55 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -25 + 9p + -4p = -55 + 4p + -4p Combine like terms: 9p + -4p = 5p -25 + 5p = -55 + 4p + -4p Combine like terms: 4p + -4p = 0 -25 + 5p = -55 + 0 -25 + 5p = -55 Add '25' to each side of the equation. -25 + 25 + 5p = -55 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -55 + 25 5p = -55 + 25 Combine like terms: -55 + 25 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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