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Simplifying -14p + -6(6 + -4p) = 5(p + -3) + -21 -14p + (6 * -6 + -4p * -6) = 5(p + -3) + -21 -14p + (-36 + 24p) = 5(p + -3) + -21 Reorder the terms: -36 + -14p + 24p = 5(p + -3) + -21 Combine like terms: -14p + 24p = 10p -36 + 10p = 5(p + -3) + -21 Reorder the terms: -36 + 10p = 5(-3 + p) + -21 -36 + 10p = (-3 * 5 + p * 5) + -21 -36 + 10p = (-15 + 5p) + -21 Reorder the terms: -36 + 10p = -15 + -21 + 5p Combine like terms: -15 + -21 = -36 -36 + 10p = -36 + 5p Add '36' to each side of the equation. -36 + 36 + 10p = -36 + 36 + 5p Combine like terms: -36 + 36 = 0 0 + 10p = -36 + 36 + 5p 10p = -36 + 36 + 5p Combine like terms: -36 + 36 = 0 10p = 0 + 5p 10p = 5p Solving 10p = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 10p + -5p = 5p + -5p Combine like terms: 10p + -5p = 5p 5p = 5p + -5p Combine like terms: 5p + -5p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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