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Simplifying -6(4p + 3) + 3p = 38 + -7p Reorder the terms: -6(3 + 4p) + 3p = 38 + -7p (3 * -6 + 4p * -6) + 3p = 38 + -7p (-18 + -24p) + 3p = 38 + -7p Combine like terms: -24p + 3p = -21p -18 + -21p = 38 + -7p Solving -18 + -21p = 38 + -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. -18 + -21p + 7p = 38 + -7p + 7p Combine like terms: -21p + 7p = -14p -18 + -14p = 38 + -7p + 7p Combine like terms: -7p + 7p = 0 -18 + -14p = 38 + 0 -18 + -14p = 38 Add '18' to each side of the equation. -18 + 18 + -14p = 38 + 18 Combine like terms: -18 + 18 = 0 0 + -14p = 38 + 18 -14p = 38 + 18 Combine like terms: 38 + 18 = 56 -14p = 56 Divide each side by '-14'. p = -4 Simplifying p = -4
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