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Simplifying -2p + -2(3 + -4p) = 2(p + -2) + -30 -2p + (3 * -2 + -4p * -2) = 2(p + -2) + -30 -2p + (-6 + 8p) = 2(p + -2) + -30 Reorder the terms: -6 + -2p + 8p = 2(p + -2) + -30 Combine like terms: -2p + 8p = 6p -6 + 6p = 2(p + -2) + -30 Reorder the terms: -6 + 6p = 2(-2 + p) + -30 -6 + 6p = (-2 * 2 + p * 2) + -30 -6 + 6p = (-4 + 2p) + -30 Reorder the terms: -6 + 6p = -4 + -30 + 2p Combine like terms: -4 + -30 = -34 -6 + 6p = -34 + 2p Solving -6 + 6p = -34 + 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. -6 + 6p + -2p = -34 + 2p + -2p Combine like terms: 6p + -2p = 4p -6 + 4p = -34 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + 4p = -34 + 0 -6 + 4p = -34 Add '6' to each side of the equation. -6 + 6 + 4p = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -34 + 6 4p = -34 + 6 Combine like terms: -34 + 6 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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