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Simplifying 3p + -2(p + -4) = 7p + 6 Reorder the terms: 3p + -2(-4 + p) = 7p + 6 3p + (-4 * -2 + p * -2) = 7p + 6 3p + (8 + -2p) = 7p + 6 Reorder the terms: 8 + 3p + -2p = 7p + 6 Combine like terms: 3p + -2p = 1p 8 + 1p = 7p + 6 Reorder the terms: 8 + 1p = 6 + 7p Solving 8 + 1p = 6 + 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. 8 + 1p + -7p = 6 + 7p + -7p Combine like terms: 1p + -7p = -6p 8 + -6p = 6 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + -6p = 6 + 0 8 + -6p = 6 Add '-8' to each side of the equation. 8 + -8 + -6p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = 6 + -8 -6p = 6 + -8 Combine like terms: 6 + -8 = -2 -6p = -2 Divide each side by '-6'. p = 0.3333333333 Simplifying p = 0.3333333333
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