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Simplifying -4(34 + 4) + -32 = 3(4p + 8) Combine like terms: 34 + 4 = 38 -4(38) + -32 = 3(4p + 8) Multiply -4 * 38 -152 + -32 = 3(4p + 8) Combine like terms: -152 + -32 = -184 -184 = 3(4p + 8) Reorder the terms: -184 = 3(8 + 4p) -184 = (8 * 3 + 4p * 3) -184 = (24 + 12p) Solving -184 = 24 + 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. -184 + -12p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -184 + -12p = 24 + 0 -184 + -12p = 24 Add '184' to each side of the equation. -184 + 184 + -12p = 24 + 184 Combine like terms: -184 + 184 = 0 0 + -12p = 24 + 184 -12p = 24 + 184 Combine like terms: 24 + 184 = 208 -12p = 208 Divide each side by '-12'. p = -17.33333333 Simplifying p = -17.33333333
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