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Simplifying -5p + -6(3 + -4p) = 5(p + -4) + -18 -5p + (3 * -6 + -4p * -6) = 5(p + -4) + -18 -5p + (-18 + 24p) = 5(p + -4) + -18 Reorder the terms: -18 + -5p + 24p = 5(p + -4) + -18 Combine like terms: -5p + 24p = 19p -18 + 19p = 5(p + -4) + -18 Reorder the terms: -18 + 19p = 5(-4 + p) + -18 -18 + 19p = (-4 * 5 + p * 5) + -18 -18 + 19p = (-20 + 5p) + -18 Reorder the terms: -18 + 19p = -20 + -18 + 5p Combine like terms: -20 + -18 = -38 -18 + 19p = -38 + 5p Solving -18 + 19p = -38 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -18 + 19p + -5p = -38 + 5p + -5p Combine like terms: 19p + -5p = 14p -18 + 14p = -38 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 14p = -38 + 0 -18 + 14p = -38 Add '18' to each side of the equation. -18 + 18 + 14p = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 14p = -38 + 18 14p = -38 + 18 Combine like terms: -38 + 18 = -20 14p = -20 Divide each side by '14'. p = -1.428571429 Simplifying p = -1.428571429
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