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Simplifying -19p + -5(6 + -5p) = 4(p + -4) + -14 -19p + (6 * -5 + -5p * -5) = 4(p + -4) + -14 -19p + (-30 + 25p) = 4(p + -4) + -14 Reorder the terms: -30 + -19p + 25p = 4(p + -4) + -14 Combine like terms: -19p + 25p = 6p -30 + 6p = 4(p + -4) + -14 Reorder the terms: -30 + 6p = 4(-4 + p) + -14 -30 + 6p = (-4 * 4 + p * 4) + -14 -30 + 6p = (-16 + 4p) + -14 Reorder the terms: -30 + 6p = -16 + -14 + 4p Combine like terms: -16 + -14 = -30 -30 + 6p = -30 + 4p Add '30' to each side of the equation. -30 + 30 + 6p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 0 + 6p = -30 + 30 + 4p 6p = -30 + 30 + 4p Combine like terms: -30 + 30 = 0 6p = 0 + 4p 6p = 4p Solving 6p = 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. 6p + -4p = 4p + -4p Combine like terms: 6p + -4p = 2p 2p = 4p + -4p Combine like terms: 4p + -4p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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