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Simplifying -6(-4p + 1) + 6(4 + -1p) = 6p + 3p Reorder the terms: -6(1 + -4p) + 6(4 + -1p) = 6p + 3p (1 * -6 + -4p * -6) + 6(4 + -1p) = 6p + 3p (-6 + 24p) + 6(4 + -1p) = 6p + 3p -6 + 24p + (4 * 6 + -1p * 6) = 6p + 3p -6 + 24p + (24 + -6p) = 6p + 3p Reorder the terms: -6 + 24 + 24p + -6p = 6p + 3p Combine like terms: -6 + 24 = 18 18 + 24p + -6p = 6p + 3p Combine like terms: 24p + -6p = 18p 18 + 18p = 6p + 3p Combine like terms: 6p + 3p = 9p 18 + 18p = 9p Solving 18 + 18p = 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 18 + 18p + -9p = 9p + -9p Combine like terms: 18p + -9p = 9p 18 + 9p = 9p + -9p Combine like terms: 9p + -9p = 0 18 + 9p = 0 Add '-18' to each side of the equation. 18 + -18 + 9p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9p = 0 + -18 9p = 0 + -18 Combine like terms: 0 + -18 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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