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Simplifying -14 + 3p = -4(-3p + 8) Reorder the terms: -14 + 3p = -4(8 + -3p) -14 + 3p = (8 * -4 + -3p * -4) -14 + 3p = (-32 + 12p) Solving -14 + 3p = -32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -14 + 3p + -12p = -32 + 12p + -12p Combine like terms: 3p + -12p = -9p -14 + -9p = -32 + 12p + -12p Combine like terms: 12p + -12p = 0 -14 + -9p = -32 + 0 -14 + -9p = -32 Add '14' to each side of the equation. -14 + 14 + -9p = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -9p = -32 + 14 -9p = -32 + 14 Combine like terms: -32 + 14 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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