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Simplifying 7 + p = 2(1 + -3p) 7 + p = (1 * 2 + -3p * 2) 7 + p = (2 + -6p) Solving 7 + p = 2 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 7 + p + 6p = 2 + -6p + 6p Combine like terms: p + 6p = 7p 7 + 7p = 2 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 7p = 2 + 0 7 + 7p = 2 Add '-7' to each side of the equation. 7 + -7 + 7p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 2 + -7 7p = 2 + -7 Combine like terms: 2 + -7 = -5 7p = -5 Divide each side by '7'. p = -0.7142857143 Simplifying p = -0.7142857143
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