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Simplifying 6x + 2 = 2(3x + 2p) Reorder the terms: 2 + 6x = 2(3x + 2p) Reorder the terms: 2 + 6x = 2(2p + 3x) 2 + 6x = (2p * 2 + 3x * 2) 2 + 6x = (4p + 6x) Add '-6x' to each side of the equation. 2 + 6x + -6x = 4p + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 0 = 4p + 6x + -6x 2 = 4p + 6x + -6x Combine like terms: 6x + -6x = 0 2 = 4p + 0 2 = 4p Solving 2 = 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. 2 + -4p = 4p + -4p Combine like terms: 4p + -4p = 0 2 + -4p = 0 Add '-2' to each side of the equation. 2 + -2 + -4p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4p = 0 + -2 -4p = 0 + -2 Combine like terms: 0 + -2 = -2 -4p = -2 Divide each side by '-4'. p = 0.5 Simplifying p = 0.5
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