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Simplifying -3(2p + 4) + -8 = (p + 5) + 2 Reorder the terms: -3(4 + 2p) + -8 = (p + 5) + 2 (4 * -3 + 2p * -3) + -8 = (p + 5) + 2 (-12 + -6p) + -8 = (p + 5) + 2 Reorder the terms: -12 + -8 + -6p = (p + 5) + 2 Combine like terms: -12 + -8 = -20 -20 + -6p = (p + 5) + 2 Reorder the terms: -20 + -6p = (5 + p) + 2 Remove parenthesis around (5 + p) -20 + -6p = 5 + p + 2 Reorder the terms: -20 + -6p = 5 + 2 + p Combine like terms: 5 + 2 = 7 -20 + -6p = 7 + p Solving -20 + -6p = 7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -20 + -6p + -1p = 7 + p + -1p Combine like terms: -6p + -1p = -7p -20 + -7p = 7 + p + -1p Combine like terms: p + -1p = 0 -20 + -7p = 7 + 0 -20 + -7p = 7 Add '20' to each side of the equation. -20 + 20 + -7p = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -7p = 7 + 20 -7p = 7 + 20 Combine like terms: 7 + 20 = 27 -7p = 27 Divide each side by '-7'. p = -3.857142857 Simplifying p = -3.857142857
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