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Simplifying -21p + -5(6 + -6p) = 4(p + -2) + -22 -21p + (6 * -5 + -6p * -5) = 4(p + -2) + -22 -21p + (-30 + 30p) = 4(p + -2) + -22 Reorder the terms: -30 + -21p + 30p = 4(p + -2) + -22 Combine like terms: -21p + 30p = 9p -30 + 9p = 4(p + -2) + -22 Reorder the terms: -30 + 9p = 4(-2 + p) + -22 -30 + 9p = (-2 * 4 + p * 4) + -22 -30 + 9p = (-8 + 4p) + -22 Reorder the terms: -30 + 9p = -8 + -22 + 4p Combine like terms: -8 + -22 = -30 -30 + 9p = -30 + 4p Add '30' to each side of the equation. -30 + 30 + 9p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 0 + 9p = -30 + 30 + 4p 9p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 9p = 0 + 4p 9p = 4p Solving 9p = 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. 9p + -4p = 4p + -4p Combine like terms: 9p + -4p = 5p 5p = 4p + -4p Combine like terms: 4p + -4p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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