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Simplifying 2(3p + -6) + 4 = 22 + -2(p + -1) Reorder the terms: 2(-6 + 3p) + 4 = 22 + -2(p + -1) (-6 * 2 + 3p * 2) + 4 = 22 + -2(p + -1) (-12 + 6p) + 4 = 22 + -2(p + -1) Reorder the terms: -12 + 4 + 6p = 22 + -2(p + -1) Combine like terms: -12 + 4 = -8 -8 + 6p = 22 + -2(p + -1) Reorder the terms: -8 + 6p = 22 + -2(-1 + p) -8 + 6p = 22 + (-1 * -2 + p * -2) -8 + 6p = 22 + (2 + -2p) Combine like terms: 22 + 2 = 24 -8 + 6p = 24 + -2p Solving -8 + 6p = 24 + -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. -8 + 6p + 2p = 24 + -2p + 2p Combine like terms: 6p + 2p = 8p -8 + 8p = 24 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + 8p = 24 + 0 -8 + 8p = 24 Add '8' to each side of the equation. -8 + 8 + 8p = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8p = 24 + 8 8p = 24 + 8 Combine like terms: 24 + 8 = 32 8p = 32 Divide each side by '8'. p = 4 Simplifying p = 4
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