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Simplifying 3p + -2(6 + -2p) = 2(p + -2) + -23 3p + (6 * -2 + -2p * -2) = 2(p + -2) + -23 3p + (-12 + 4p) = 2(p + -2) + -23 Reorder the terms: -12 + 3p + 4p = 2(p + -2) + -23 Combine like terms: 3p + 4p = 7p -12 + 7p = 2(p + -2) + -23 Reorder the terms: -12 + 7p = 2(-2 + p) + -23 -12 + 7p = (-2 * 2 + p * 2) + -23 -12 + 7p = (-4 + 2p) + -23 Reorder the terms: -12 + 7p = -4 + -23 + 2p Combine like terms: -4 + -23 = -27 -12 + 7p = -27 + 2p Solving -12 + 7p = -27 + 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. -12 + 7p + -2p = -27 + 2p + -2p Combine like terms: 7p + -2p = 5p -12 + 5p = -27 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 5p = -27 + 0 -12 + 5p = -27 Add '12' to each side of the equation. -12 + 12 + 5p = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -27 + 12 5p = -27 + 12 Combine like terms: -27 + 12 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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