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Simplifying -3(p + 3) = -2(7p + -4) + -6p Reorder the terms: -3(3 + p) = -2(7p + -4) + -6p (3 * -3 + p * -3) = -2(7p + -4) + -6p (-9 + -3p) = -2(7p + -4) + -6p Reorder the terms: -9 + -3p = -2(-4 + 7p) + -6p -9 + -3p = (-4 * -2 + 7p * -2) + -6p -9 + -3p = (8 + -14p) + -6p Combine like terms: -14p + -6p = -20p -9 + -3p = 8 + -20p Solving -9 + -3p = 8 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -9 + -3p + 20p = 8 + -20p + 20p Combine like terms: -3p + 20p = 17p -9 + 17p = 8 + -20p + 20p Combine like terms: -20p + 20p = 0 -9 + 17p = 8 + 0 -9 + 17p = 8 Add '9' to each side of the equation. -9 + 9 + 17p = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 17p = 8 + 9 17p = 8 + 9 Combine like terms: 8 + 9 = 17 17p = 17 Divide each side by '17'. p = 1 Simplifying p = 1
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