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Simplifying 6(p + -3) + -2(-3p + -2) = 2 + 5p + 5p + 2 Reorder the terms: 6(-3 + p) + -2(-3p + -2) = 2 + 5p + 5p + 2 (-3 * 6 + p * 6) + -2(-3p + -2) = 2 + 5p + 5p + 2 (-18 + 6p) + -2(-3p + -2) = 2 + 5p + 5p + 2 Reorder the terms: -18 + 6p + -2(-2 + -3p) = 2 + 5p + 5p + 2 -18 + 6p + (-2 * -2 + -3p * -2) = 2 + 5p + 5p + 2 -18 + 6p + (4 + 6p) = 2 + 5p + 5p + 2 Reorder the terms: -18 + 4 + 6p + 6p = 2 + 5p + 5p + 2 Combine like terms: -18 + 4 = -14 -14 + 6p + 6p = 2 + 5p + 5p + 2 Combine like terms: 6p + 6p = 12p -14 + 12p = 2 + 5p + 5p + 2 Reorder the terms: -14 + 12p = 2 + 2 + 5p + 5p Combine like terms: 2 + 2 = 4 -14 + 12p = 4 + 5p + 5p Combine like terms: 5p + 5p = 10p -14 + 12p = 4 + 10p Solving -14 + 12p = 4 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -14 + 12p + -10p = 4 + 10p + -10p Combine like terms: 12p + -10p = 2p -14 + 2p = 4 + 10p + -10p Combine like terms: 10p + -10p = 0 -14 + 2p = 4 + 0 -14 + 2p = 4 Add '14' to each side of the equation. -14 + 14 + 2p = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = 4 + 14 2p = 4 + 14 Combine like terms: 4 + 14 = 18 2p = 18 Divide each side by '2'. p = 9 Simplifying p = 9
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