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Simplifying 3p + 7 = 4(4 + -6p) + 2 Reorder the terms: 7 + 3p = 4(4 + -6p) + 2 7 + 3p = (4 * 4 + -6p * 4) + 2 7 + 3p = (16 + -24p) + 2 Reorder the terms: 7 + 3p = 16 + 2 + -24p Combine like terms: 16 + 2 = 18 7 + 3p = 18 + -24p Solving 7 + 3p = 18 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 7 + 3p + 24p = 18 + -24p + 24p Combine like terms: 3p + 24p = 27p 7 + 27p = 18 + -24p + 24p Combine like terms: -24p + 24p = 0 7 + 27p = 18 + 0 7 + 27p = 18 Add '-7' to each side of the equation. 7 + -7 + 27p = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 27p = 18 + -7 27p = 18 + -7 Combine like terms: 18 + -7 = 11 27p = 11 Divide each side by '27'. p = 0.4074074074 Simplifying p = 0.4074074074
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