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Simplifying 4p + -3(6 + -2p) = 6(p + -2) + -14 4p + (6 * -3 + -2p * -3) = 6(p + -2) + -14 4p + (-18 + 6p) = 6(p + -2) + -14 Reorder the terms: -18 + 4p + 6p = 6(p + -2) + -14 Combine like terms: 4p + 6p = 10p -18 + 10p = 6(p + -2) + -14 Reorder the terms: -18 + 10p = 6(-2 + p) + -14 -18 + 10p = (-2 * 6 + p * 6) + -14 -18 + 10p = (-12 + 6p) + -14 Reorder the terms: -18 + 10p = -12 + -14 + 6p Combine like terms: -12 + -14 = -26 -18 + 10p = -26 + 6p Solving -18 + 10p = -26 + 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. -18 + 10p + -6p = -26 + 6p + -6p Combine like terms: 10p + -6p = 4p -18 + 4p = -26 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 4p = -26 + 0 -18 + 4p = -26 Add '18' to each side of the equation. -18 + 18 + 4p = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = -26 + 18 4p = -26 + 18 Combine like terms: -26 + 18 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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