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Simplifying 24 + 6p = 6(3p + 2) Reorder the terms: 24 + 6p = 6(2 + 3p) 24 + 6p = (2 * 6 + 3p * 6) 24 + 6p = (12 + 18p) Solving 24 + 6p = 12 + 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. 24 + 6p + -18p = 12 + 18p + -18p Combine like terms: 6p + -18p = -12p 24 + -12p = 12 + 18p + -18p Combine like terms: 18p + -18p = 0 24 + -12p = 12 + 0 24 + -12p = 12 Add '-24' to each side of the equation. 24 + -24 + -12p = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -12p = 12 + -24 -12p = 12 + -24 Combine like terms: 12 + -24 = -12 -12p = -12 Divide each side by '-12'. p = 1 Simplifying p = 1
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