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Simplifying 19 + -5p = -6(1 + 5p) 19 + -5p = (1 * -6 + 5p * -6) 19 + -5p = (-6 + -30p) Solving 19 + -5p = -6 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 19 + -5p + 30p = -6 + -30p + 30p Combine like terms: -5p + 30p = 25p 19 + 25p = -6 + -30p + 30p Combine like terms: -30p + 30p = 0 19 + 25p = -6 + 0 19 + 25p = -6 Add '-19' to each side of the equation. 19 + -19 + 25p = -6 + -19 Combine like terms: 19 + -19 = 0 0 + 25p = -6 + -19 25p = -6 + -19 Combine like terms: -6 + -19 = -25 25p = -25 Divide each side by '25'. p = -1 Simplifying p = -1
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