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Simplifying 17(7 + -4p) = 4(p + -10) + -19p (7 * 17 + -4p * 17) = 4(p + -10) + -19p (119 + -68p) = 4(p + -10) + -19p Reorder the terms: 119 + -68p = 4(-10 + p) + -19p 119 + -68p = (-10 * 4 + p * 4) + -19p 119 + -68p = (-40 + 4p) + -19p Combine like terms: 4p + -19p = -15p 119 + -68p = -40 + -15p Solving 119 + -68p = -40 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 119 + -68p + 15p = -40 + -15p + 15p Combine like terms: -68p + 15p = -53p 119 + -53p = -40 + -15p + 15p Combine like terms: -15p + 15p = 0 119 + -53p = -40 + 0 119 + -53p = -40 Add '-119' to each side of the equation. 119 + -119 + -53p = -40 + -119 Combine like terms: 119 + -119 = 0 0 + -53p = -40 + -119 -53p = -40 + -119 Combine like terms: -40 + -119 = -159 -53p = -159 Divide each side by '-53'. p = 3 Simplifying p = 3
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