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Simplifying 6p + -1(8p + 22) = 2 + -1(5p + -4) Reorder the terms: 6p + -1(22 + 8p) = 2 + -1(5p + -4) 6p + (22 * -1 + 8p * -1) = 2 + -1(5p + -4) 6p + (-22 + -8p) = 2 + -1(5p + -4) Reorder the terms: -22 + 6p + -8p = 2 + -1(5p + -4) Combine like terms: 6p + -8p = -2p -22 + -2p = 2 + -1(5p + -4) Reorder the terms: -22 + -2p = 2 + -1(-4 + 5p) -22 + -2p = 2 + (-4 * -1 + 5p * -1) -22 + -2p = 2 + (4 + -5p) Combine like terms: 2 + 4 = 6 -22 + -2p = 6 + -5p Solving -22 + -2p = 6 + -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. -22 + -2p + 5p = 6 + -5p + 5p Combine like terms: -2p + 5p = 3p -22 + 3p = 6 + -5p + 5p Combine like terms: -5p + 5p = 0 -22 + 3p = 6 + 0 -22 + 3p = 6 Add '22' to each side of the equation. -22 + 22 + 3p = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 3p = 6 + 22 3p = 6 + 22 Combine like terms: 6 + 22 = 28 3p = 28 Divide each side by '3'. p = 9.333333333 Simplifying p = 9.333333333
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