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Simplifying -5(p + 2) + -4 = 6 + -1(p + 4) Reorder the terms: -5(2 + p) + -4 = 6 + -1(p + 4) (2 * -5 + p * -5) + -4 = 6 + -1(p + 4) (-10 + -5p) + -4 = 6 + -1(p + 4) Reorder the terms: -10 + -4 + -5p = 6 + -1(p + 4) Combine like terms: -10 + -4 = -14 -14 + -5p = 6 + -1(p + 4) Reorder the terms: -14 + -5p = 6 + -1(4 + p) -14 + -5p = 6 + (4 * -1 + p * -1) -14 + -5p = 6 + (-4 + -1p) Combine like terms: 6 + -4 = 2 -14 + -5p = 2 + -1p Solving -14 + -5p = 2 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -14 + -5p + p = 2 + -1p + p Combine like terms: -5p + p = -4p -14 + -4p = 2 + -1p + p Combine like terms: -1p + p = 0 -14 + -4p = 2 + 0 -14 + -4p = 2 Add '14' to each side of the equation. -14 + 14 + -4p = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -4p = 2 + 14 -4p = 2 + 14 Combine like terms: 2 + 14 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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