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Simplifying 2 + -5p = -3(6p + 8) Reorder the terms: 2 + -5p = -3(8 + 6p) 2 + -5p = (8 * -3 + 6p * -3) 2 + -5p = (-24 + -18p) Solving 2 + -5p = -24 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 2 + -5p + 18p = -24 + -18p + 18p Combine like terms: -5p + 18p = 13p 2 + 13p = -24 + -18p + 18p Combine like terms: -18p + 18p = 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 = -26 13p = -26 Divide each side by '13'. p = -2 Simplifying p = -2
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