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Simplifying -18 + -6p = 8(-6p + 3) Reorder the terms: -18 + -6p = 8(3 + -6p) -18 + -6p = (3 * 8 + -6p * 8) -18 + -6p = (24 + -48p) Solving -18 + -6p = 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. -18 + -6p + 48p = 24 + -48p + 48p Combine like terms: -6p + 48p = 42p -18 + 42p = 24 + -48p + 48p Combine like terms: -48p + 48p = 0 -18 + 42p = 24 + 0 -18 + 42p = 24 Add '18' to each side of the equation. -18 + 18 + 42p = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 42p = 24 + 18 42p = 24 + 18 Combine like terms: 24 + 18 = 42 42p = 42 Divide each side by '42'. p = 1 Simplifying p = 1
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