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Simplifying 3(-4p + 30) = -114 Reorder the terms: 3(30 + -4p) = -114 (30 * 3 + -4p * 3) = -114 (90 + -12p) = -114 Solving 90 + -12p = -114 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -12p = -114 + -90 Combine like terms: 90 + -90 = 0 0 + -12p = -114 + -90 -12p = -114 + -90 Combine like terms: -114 + -90 = -204 -12p = -204 Divide each side by '-12'. p = 17 Simplifying p = 17
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