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Simplifying 3p + -3(6 + -2p) = 4(p + -6) + -44 3p + (6 * -3 + -2p * -3) = 4(p + -6) + -44 3p + (-18 + 6p) = 4(p + -6) + -44 Reorder the terms: -18 + 3p + 6p = 4(p + -6) + -44 Combine like terms: 3p + 6p = 9p -18 + 9p = 4(p + -6) + -44 Reorder the terms: -18 + 9p = 4(-6 + p) + -44 -18 + 9p = (-6 * 4 + p * 4) + -44 -18 + 9p = (-24 + 4p) + -44 Reorder the terms: -18 + 9p = -24 + -44 + 4p Combine like terms: -24 + -44 = -68 -18 + 9p = -68 + 4p Solving -18 + 9p = -68 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -18 + 9p + -4p = -68 + 4p + -4p Combine like terms: 9p + -4p = 5p -18 + 5p = -68 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 5p = -68 + 0 -18 + 5p = -68 Add '18' to each side of the equation. -18 + 18 + 5p = -68 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -68 + 18 5p = -68 + 18 Combine like terms: -68 + 18 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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