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Simplifying -22 + 3p = -8 + 2(p + -6) Reorder the terms: -22 + 3p = -8 + 2(-6 + p) -22 + 3p = -8 + (-6 * 2 + p * 2) -22 + 3p = -8 + (-12 + 2p) Combine like terms: -8 + -12 = -20 -22 + 3p = -20 + 2p Solving -22 + 3p = -20 + 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. -22 + 3p + -2p = -20 + 2p + -2p Combine like terms: 3p + -2p = 1p -22 + 1p = -20 + 2p + -2p Combine like terms: 2p + -2p = 0 -22 + 1p = -20 + 0 -22 + 1p = -20 Add '22' to each side of the equation. -22 + 22 + 1p = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = -20 + 22 1p = -20 + 22 Combine like terms: -20 + 22 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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