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Simplifying 8(3p + -6) = 6(3p + -3) Reorder the terms: 8(-6 + 3p) = 6(3p + -3) (-6 * 8 + 3p * 8) = 6(3p + -3) (-48 + 24p) = 6(3p + -3) Reorder the terms: -48 + 24p = 6(-3 + 3p) -48 + 24p = (-3 * 6 + 3p * 6) -48 + 24p = (-18 + 18p) Solving -48 + 24p = -18 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -48 + 24p + -18p = -18 + 18p + -18p Combine like terms: 24p + -18p = 6p -48 + 6p = -18 + 18p + -18p Combine like terms: 18p + -18p = 0 -48 + 6p = -18 + 0 -48 + 6p = -18 Add '48' to each side of the equation. -48 + 48 + 6p = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 6p = -18 + 48 6p = -18 + 48 Combine like terms: -18 + 48 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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