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Simplifying 3(6 + -4p) + 2 = -7p + 35 (6 * 3 + -4p * 3) + 2 = -7p + 35 (18 + -12p) + 2 = -7p + 35 Reorder the terms: 18 + 2 + -12p = -7p + 35 Combine like terms: 18 + 2 = 20 20 + -12p = -7p + 35 Reorder the terms: 20 + -12p = 35 + -7p Solving 20 + -12p = 35 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 20 + -12p + 7p = 35 + -7p + 7p Combine like terms: -12p + 7p = -5p 20 + -5p = 35 + -7p + 7p Combine like terms: -7p + 7p = 0 20 + -5p = 35 + 0 20 + -5p = 35 Add '-20' to each side of the equation. 20 + -20 + -5p = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -5p = 35 + -20 -5p = 35 + -20 Combine like terms: 35 + -20 = 15 -5p = 15 Divide each side by '-5'. p = -3 Simplifying p = -3
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