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Simplifying 2(p + 2) + 8 = 4(p + -3) + 18 Reorder the terms: 2(2 + p) + 8 = 4(p + -3) + 18 (2 * 2 + p * 2) + 8 = 4(p + -3) + 18 (4 + 2p) + 8 = 4(p + -3) + 18 Reorder the terms: 4 + 8 + 2p = 4(p + -3) + 18 Combine like terms: 4 + 8 = 12 12 + 2p = 4(p + -3) + 18 Reorder the terms: 12 + 2p = 4(-3 + p) + 18 12 + 2p = (-3 * 4 + p * 4) + 18 12 + 2p = (-12 + 4p) + 18 Reorder the terms: 12 + 2p = -12 + 18 + 4p Combine like terms: -12 + 18 = 6 12 + 2p = 6 + 4p Solving 12 + 2p = 6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 12 + 2p + -4p = 6 + 4p + -4p Combine like terms: 2p + -4p = -2p 12 + -2p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + -2p = 6 + 0 12 + -2p = 6 Add '-12' to each side of the equation. 12 + -12 + -2p = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2p = 6 + -12 -2p = 6 + -12 Combine like terms: 6 + -12 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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