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Simplifying -2p + 2 + 8p = -6(3p + -2) + -5(p + 2) Reorder the terms: 2 + -2p + 8p = -6(3p + -2) + -5(p + 2) Combine like terms: -2p + 8p = 6p 2 + 6p = -6(3p + -2) + -5(p + 2) Reorder the terms: 2 + 6p = -6(-2 + 3p) + -5(p + 2) 2 + 6p = (-2 * -6 + 3p * -6) + -5(p + 2) 2 + 6p = (12 + -18p) + -5(p + 2) Reorder the terms: 2 + 6p = 12 + -18p + -5(2 + p) 2 + 6p = 12 + -18p + (2 * -5 + p * -5) 2 + 6p = 12 + -18p + (-10 + -5p) Reorder the terms: 2 + 6p = 12 + -10 + -18p + -5p Combine like terms: 12 + -10 = 2 2 + 6p = 2 + -18p + -5p Combine like terms: -18p + -5p = -23p 2 + 6p = 2 + -23p Add '-2' to each side of the equation. 2 + -2 + 6p = 2 + -2 + -23p Combine like terms: 2 + -2 = 0 0 + 6p = 2 + -2 + -23p 6p = 2 + -2 + -23p Combine like terms: 2 + -2 = 0 6p = 0 + -23p 6p = -23p Solving 6p = -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 6p + 23p = -23p + 23p Combine like terms: 6p + 23p = 29p 29p = -23p + 23p Combine like terms: -23p + 23p = 0 29p = 0 Divide each side by '29'. p = 0 Simplifying p = 0
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