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Simplifying 7p + 34 = 2(6p + -3) Reorder the terms: 34 + 7p = 2(6p + -3) Reorder the terms: 34 + 7p = 2(-3 + 6p) 34 + 7p = (-3 * 2 + 6p * 2) 34 + 7p = (-6 + 12p) Solving 34 + 7p = -6 + 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. 34 + 7p + -12p = -6 + 12p + -12p Combine like terms: 7p + -12p = -5p 34 + -5p = -6 + 12p + -12p Combine like terms: 12p + -12p = 0 34 + -5p = -6 + 0 34 + -5p = -6 Add '-34' to each side of the equation. 34 + -34 + -5p = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -5p = -6 + -34 -5p = -6 + -34 Combine like terms: -6 + -34 = -40 -5p = -40 Divide each side by '-5'. p = 8 Simplifying p = 8
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