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Simplifying 7(3p + -4) = 4p + 6 Reorder the terms: 7(-4 + 3p) = 4p + 6 (-4 * 7 + 3p * 7) = 4p + 6 (-28 + 21p) = 4p + 6 Reorder the terms: -28 + 21p = 6 + 4p Solving -28 + 21p = 6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -28 + 21p + -4p = 6 + 4p + -4p Combine like terms: 21p + -4p = 17p -28 + 17p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 -28 + 17p = 6 + 0 -28 + 17p = 6 Add '28' to each side of the equation. -28 + 28 + 17p = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 17p = 6 + 28 17p = 6 + 28 Combine like terms: 6 + 28 = 34 17p = 34 Divide each side by '17'. p = 2 Simplifying p = 2
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