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Simplifying 7(p + -2) = 3p + 4 Reorder the terms: 7(-2 + p) = 3p + 4 (-2 * 7 + p * 7) = 3p + 4 (-14 + 7p) = 3p + 4 Reorder the terms: -14 + 7p = 4 + 3p Solving -14 + 7p = 4 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -14 + 7p + -3p = 4 + 3p + -3p Combine like terms: 7p + -3p = 4p -14 + 4p = 4 + 3p + -3p Combine like terms: 3p + -3p = 0 -14 + 4p = 4 + 0 -14 + 4p = 4 Add '14' to each side of the equation. -14 + 14 + 4p = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 4p = 4 + 14 4p = 4 + 14 Combine like terms: 4 + 14 = 18 4p = 18 Divide each side by '4'. p = 4.5 Simplifying p = 4.5
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