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Simplifying 34 + -5(2 + p) = p + 6(4 + p) 34 + (2 * -5 + p * -5) = p + 6(4 + p) 34 + (-10 + -5p) = p + 6(4 + p) Combine like terms: 34 + -10 = 24 24 + -5p = p + 6(4 + p) 24 + -5p = p + (4 * 6 + p * 6) 24 + -5p = p + (24 + 6p) Reorder the terms: 24 + -5p = 24 + p + 6p Combine like terms: p + 6p = 7p 24 + -5p = 24 + 7p Add '-24' to each side of the equation. 24 + -24 + -5p = 24 + -24 + 7p Combine like terms: 24 + -24 = 0 0 + -5p = 24 + -24 + 7p -5p = 24 + -24 + 7p Combine like terms: 24 + -24 = 0 -5p = 0 + 7p -5p = 7p Solving -5p = 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -5p + -7p = 7p + -7p Combine like terms: -5p + -7p = -12p -12p = 7p + -7p Combine like terms: 7p + -7p = 0 -12p = 0 Divide each side by '-12'. p = 0 Simplifying p = 0
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