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Simplifying 2p + -6(p + 3) = 6 + -1p Reorder the terms: 2p + -6(3 + p) = 6 + -1p 2p + (3 * -6 + p * -6) = 6 + -1p 2p + (-18 + -6p) = 6 + -1p Reorder the terms: -18 + 2p + -6p = 6 + -1p Combine like terms: 2p + -6p = -4p -18 + -4p = 6 + -1p Solving -18 + -4p = 6 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -18 + -4p + p = 6 + -1p + p Combine like terms: -4p + p = -3p -18 + -3p = 6 + -1p + p Combine like terms: -1p + p = 0 -18 + -3p = 6 + 0 -18 + -3p = 6 Add '18' to each side of the equation. -18 + 18 + -3p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -3p = 6 + 18 -3p = 6 + 18 Combine like terms: 6 + 18 = 24 -3p = 24 Divide each side by '-3'. p = -8 Simplifying p = -8
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