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Simplifying 2p + -2(6 + -3p) = 3(p + -5) + -7 2p + (6 * -2 + -3p * -2) = 3(p + -5) + -7 2p + (-12 + 6p) = 3(p + -5) + -7 Reorder the terms: -12 + 2p + 6p = 3(p + -5) + -7 Combine like terms: 2p + 6p = 8p -12 + 8p = 3(p + -5) + -7 Reorder the terms: -12 + 8p = 3(-5 + p) + -7 -12 + 8p = (-5 * 3 + p * 3) + -7 -12 + 8p = (-15 + 3p) + -7 Reorder the terms: -12 + 8p = -15 + -7 + 3p Combine like terms: -15 + -7 = -22 -12 + 8p = -22 + 3p Solving -12 + 8p = -22 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 8p + -3p = -22 + 3p + -3p Combine like terms: 8p + -3p = 5p -12 + 5p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 5p = -22 + 0 -12 + 5p = -22 Add '12' to each side of the equation. -12 + 12 + 5p = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -22 + 12 5p = -22 + 12 Combine like terms: -22 + 12 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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