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