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Simplifying 7(p + -3) = 3(1 + -1p) + -4 Reorder the terms: 7(-3 + p) = 3(1 + -1p) + -4 (-3 * 7 + p * 7) = 3(1 + -1p) + -4 (-21 + 7p) = 3(1 + -1p) + -4 -21 + 7p = (1 * 3 + -1p * 3) + -4 -21 + 7p = (3 + -3p) + -4 Reorder the terms: -21 + 7p = 3 + -4 + -3p Combine like terms: 3 + -4 = -1 -21 + 7p = -1 + -3p Solving -21 + 7p = -1 + -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. -21 + 7p + 3p = -1 + -3p + 3p Combine like terms: 7p + 3p = 10p -21 + 10p = -1 + -3p + 3p Combine like terms: -3p + 3p = 0 -21 + 10p = -1 + 0 -21 + 10p = -1 Add '21' to each side of the equation. -21 + 21 + 10p = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 10p = -1 + 21 10p = -1 + 21 Combine like terms: -1 + 21 = 20 10p = 20 Divide each side by '10'. p = 2 Simplifying p = 2
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