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Simplifying -2p + -2(5 + -3p) = 2(p + -6) + -4 -2p + (5 * -2 + -3p * -2) = 2(p + -6) + -4 -2p + (-10 + 6p) = 2(p + -6) + -4 Reorder the terms: -10 + -2p + 6p = 2(p + -6) + -4 Combine like terms: -2p + 6p = 4p -10 + 4p = 2(p + -6) + -4 Reorder the terms: -10 + 4p = 2(-6 + p) + -4 -10 + 4p = (-6 * 2 + p * 2) + -4 -10 + 4p = (-12 + 2p) + -4 Reorder the terms: -10 + 4p = -12 + -4 + 2p Combine like terms: -12 + -4 = -16 -10 + 4p = -16 + 2p Solving -10 + 4p = -16 + 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. -10 + 4p + -2p = -16 + 2p + -2p Combine like terms: 4p + -2p = 2p -10 + 2p = -16 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 2p = -16 + 0 -10 + 2p = -16 Add '10' to each side of the equation. -10 + 10 + 2p = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -16 + 10 2p = -16 + 10 Combine like terms: -16 + 10 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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