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