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Simplifying -1 + -3(6p + 8) = 38 + 3p Reorder the terms: -1 + -3(8 + 6p) = 38 + 3p -1 + (8 * -3 + 6p * -3) = 38 + 3p -1 + (-24 + -18p) = 38 + 3p Combine like terms: -1 + -24 = -25 -25 + -18p = 38 + 3p Solving -25 + -18p = 38 + 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. -25 + -18p + -3p = 38 + 3p + -3p Combine like terms: -18p + -3p = -21p -25 + -21p = 38 + 3p + -3p Combine like terms: 3p + -3p = 0 -25 + -21p = 38 + 0 -25 + -21p = 38 Add '25' to each side of the equation. -25 + 25 + -21p = 38 + 25 Combine like terms: -25 + 25 = 0 0 + -21p = 38 + 25 -21p = 38 + 25 Combine like terms: 38 + 25 = 63 -21p = 63 Divide each side by '-21'. p = -3 Simplifying p = -3
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