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Simplifying -4p + -6(3 + -2p) = 3(p + -2) + -32 -4p + (3 * -6 + -2p * -6) = 3(p + -2) + -32 -4p + (-18 + 12p) = 3(p + -2) + -32 Reorder the terms: -18 + -4p + 12p = 3(p + -2) + -32 Combine like terms: -4p + 12p = 8p -18 + 8p = 3(p + -2) + -32 Reorder the terms: -18 + 8p = 3(-2 + p) + -32 -18 + 8p = (-2 * 3 + p * 3) + -32 -18 + 8p = (-6 + 3p) + -32 Reorder the terms: -18 + 8p = -6 + -32 + 3p Combine like terms: -6 + -32 = -38 -18 + 8p = -38 + 3p Solving -18 + 8p = -38 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -18 + 8p + -3p = -38 + 3p + -3p Combine like terms: 8p + -3p = 5p -18 + 5p = -38 + 3p + -3p Combine like terms: 3p + -3p = 0 -18 + 5p = -38 + 0 -18 + 5p = -38 Add '18' to each side of the equation. -18 + 18 + 5p = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -38 + 18 5p = -38 + 18 Combine like terms: -38 + 18 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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