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Simplifying 2 + 6p = 3(6p + 8) + p Reorder the terms: 2 + 6p = 3(8 + 6p) + p 2 + 6p = (8 * 3 + 6p * 3) + p 2 + 6p = (24 + 18p) + p Combine like terms: 18p + p = 19p 2 + 6p = 24 + 19p Solving 2 + 6p = 24 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 2 + 6p + -19p = 24 + 19p + -19p Combine like terms: 6p + -19p = -13p 2 + -13p = 24 + 19p + -19p Combine like terms: 19p + -19p = 0 2 + -13p = 24 + 0 2 + -13p = 24 Add '-2' to each side of the equation. 2 + -2 + -13p = 24 + -2 Combine like terms: 2 + -2 = 0 0 + -13p = 24 + -2 -13p = 24 + -2 Combine like terms: 24 + -2 = 22 -13p = 22 Divide each side by '-13'. p = -1.692307692 Simplifying p = -1.692307692
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