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Simplifying 30 + -7p = -2(6p + 5) Reorder the terms: 30 + -7p = -2(5 + 6p) 30 + -7p = (5 * -2 + 6p * -2) 30 + -7p = (-10 + -12p) Solving 30 + -7p = -10 + -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. 30 + -7p + 12p = -10 + -12p + 12p Combine like terms: -7p + 12p = 5p 30 + 5p = -10 + -12p + 12p Combine like terms: -12p + 12p = 0 30 + 5p = -10 + 0 30 + 5p = -10 Add '-30' to each side of the equation. 30 + -30 + 5p = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 5p = -10 + -30 5p = -10 + -30 Combine like terms: -10 + -30 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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