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Simplifying 3(-4p + 6) = 2(-5p + -7) + -1p Reorder the terms: 3(6 + -4p) = 2(-5p + -7) + -1p (6 * 3 + -4p * 3) = 2(-5p + -7) + -1p (18 + -12p) = 2(-5p + -7) + -1p Reorder the terms: 18 + -12p = 2(-7 + -5p) + -1p 18 + -12p = (-7 * 2 + -5p * 2) + -1p 18 + -12p = (-14 + -10p) + -1p Combine like terms: -10p + -1p = -11p 18 + -12p = -14 + -11p Solving 18 + -12p = -14 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 18 + -12p + 11p = -14 + -11p + 11p Combine like terms: -12p + 11p = -1p 18 + -1p = -14 + -11p + 11p Combine like terms: -11p + 11p = 0 18 + -1p = -14 + 0 18 + -1p = -14 Add '-18' to each side of the equation. 18 + -18 + -1p = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -1p = -14 + -18 -1p = -14 + -18 Combine like terms: -14 + -18 = -32 -1p = -32 Divide each side by '-1'. p = 32 Simplifying p = 32
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