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Simplifying 14 + -2(-3p + 1) = 6(4 + -3p) Reorder the terms: 14 + -2(1 + -3p) = 6(4 + -3p) 14 + (1 * -2 + -3p * -2) = 6(4 + -3p) 14 + (-2 + 6p) = 6(4 + -3p) Combine like terms: 14 + -2 = 12 12 + 6p = 6(4 + -3p) 12 + 6p = (4 * 6 + -3p * 6) 12 + 6p = (24 + -18p) Solving 12 + 6p = 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. 12 + 6p + 18p = 24 + -18p + 18p Combine like terms: 6p + 18p = 24p 12 + 24p = 24 + -18p + 18p Combine like terms: -18p + 18p = 0 12 + 24p = 24 + 0 12 + 24p = 24 Add '-12' to each side of the equation. 12 + -12 + 24p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 24p = 24 + -12 24p = 24 + -12 Combine like terms: 24 + -12 = 12 24p = 12 Divide each side by '24'. p = 0.5 Simplifying p = 0.5
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