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Simplifying -312 = 8(6p + -3) Reorder the terms: -312 = 8(-3 + 6p) -312 = (-3 * 8 + 6p * 8) -312 = (-24 + 48p) Solving -312 = -24 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. -312 + -48p = -24 + 48p + -48p Combine like terms: 48p + -48p = 0 -312 + -48p = -24 + 0 -312 + -48p = -24 Add '312' to each side of the equation. -312 + 312 + -48p = -24 + 312 Combine like terms: -312 + 312 = 0 0 + -48p = -24 + 312 -48p = -24 + 312 Combine like terms: -24 + 312 = 288 -48p = 288 Divide each side by '-48'. p = -6 Simplifying p = -6
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