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Simplifying -3(4p + 6) = -4 + -5p Reorder the terms: -3(6 + 4p) = -4 + -5p (6 * -3 + 4p * -3) = -4 + -5p (-18 + -12p) = -4 + -5p Solving -18 + -12p = -4 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -18 + -12p + 5p = -4 + -5p + 5p Combine like terms: -12p + 5p = -7p -18 + -7p = -4 + -5p + 5p Combine like terms: -5p + 5p = 0 -18 + -7p = -4 + 0 -18 + -7p = -4 Add '18' to each side of the equation. -18 + 18 + -7p = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -7p = -4 + 18 -7p = -4 + 18 Combine like terms: -4 + 18 = 14 -7p = 14 Divide each side by '-7'. p = -2 Simplifying p = -2
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