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Simplifying -9p + -6 = 4(p + 5) + (-6 + -6p) Reorder the terms: -6 + -9p = 4(p + 5) + (-6 + -6p) Reorder the terms: -6 + -9p = 4(5 + p) + (-6 + -6p) -6 + -9p = (5 * 4 + p * 4) + (-6 + -6p) -6 + -9p = (20 + 4p) + (-6 + -6p) Remove parenthesis around (-6 + -6p) -6 + -9p = 20 + 4p + -6 + -6p Reorder the terms: -6 + -9p = 20 + -6 + 4p + -6p Combine like terms: 20 + -6 = 14 -6 + -9p = 14 + 4p + -6p Combine like terms: 4p + -6p = -2p -6 + -9p = 14 + -2p Solving -6 + -9p = 14 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6 + -9p + 2p = 14 + -2p + 2p Combine like terms: -9p + 2p = -7p -6 + -7p = 14 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + -7p = 14 + 0 -6 + -7p = 14 Add '6' to each side of the equation. -6 + 6 + -7p = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = 14 + 6 -7p = 14 + 6 Combine like terms: 14 + 6 = 20 -7p = 20 Divide each side by '-7'. p = -2.857142857 Simplifying p = -2.857142857
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