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Simplifying 32 + 4p = 6(3p + 1) + -2 Reorder the terms: 32 + 4p = 6(1 + 3p) + -2 32 + 4p = (1 * 6 + 3p * 6) + -2 32 + 4p = (6 + 18p) + -2 Reorder the terms: 32 + 4p = 6 + -2 + 18p Combine like terms: 6 + -2 = 4 32 + 4p = 4 + 18p Solving 32 + 4p = 4 + 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. 32 + 4p + -18p = 4 + 18p + -18p Combine like terms: 4p + -18p = -14p 32 + -14p = 4 + 18p + -18p Combine like terms: 18p + -18p = 0 32 + -14p = 4 + 0 32 + -14p = 4 Add '-32' to each side of the equation. 32 + -32 + -14p = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -14p = 4 + -32 -14p = 4 + -32 Combine like terms: 4 + -32 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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