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Simplifying 102 = 6(3p + -4) Reorder the terms: 102 = 6(-4 + 3p) 102 = (-4 * 6 + 3p * 6) 102 = (-24 + 18p) Solving 102 = -24 + 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. 102 + -18p = -24 + 18p + -18p Combine like terms: 18p + -18p = 0 102 + -18p = -24 + 0 102 + -18p = -24 Add '-102' to each side of the equation. 102 + -102 + -18p = -24 + -102 Combine like terms: 102 + -102 = 0 0 + -18p = -24 + -102 -18p = -24 + -102 Combine like terms: -24 + -102 = -126 -18p = -126 Divide each side by '-18'. p = 7 Simplifying p = 7
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