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Simplifying 4(1 + -6p) = 40 + -6p (1 * 4 + -6p * 4) = 40 + -6p (4 + -24p) = 40 + -6p Solving 4 + -24p = 40 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 4 + -24p + 6p = 40 + -6p + 6p Combine like terms: -24p + 6p = -18p 4 + -18p = 40 + -6p + 6p Combine like terms: -6p + 6p = 0 4 + -18p = 40 + 0 4 + -18p = 40 Add '-4' to each side of the equation. 4 + -4 + -18p = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -18p = 40 + -4 -18p = 40 + -4 Combine like terms: 40 + -4 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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