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Simplifying -4p + -2(2 + -5p) = 2(p + -3) + -38 -4p + (2 * -2 + -5p * -2) = 2(p + -3) + -38 -4p + (-4 + 10p) = 2(p + -3) + -38 Reorder the terms: -4 + -4p + 10p = 2(p + -3) + -38 Combine like terms: -4p + 10p = 6p -4 + 6p = 2(p + -3) + -38 Reorder the terms: -4 + 6p = 2(-3 + p) + -38 -4 + 6p = (-3 * 2 + p * 2) + -38 -4 + 6p = (-6 + 2p) + -38 Reorder the terms: -4 + 6p = -6 + -38 + 2p Combine like terms: -6 + -38 = -44 -4 + 6p = -44 + 2p Solving -4 + 6p = -44 + 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. -4 + 6p + -2p = -44 + 2p + -2p Combine like terms: 6p + -2p = 4p -4 + 4p = -44 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 4p = -44 + 0 -4 + 4p = -44 Add '4' to each side of the equation. -4 + 4 + 4p = -44 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -44 + 4 4p = -44 + 4 Combine like terms: -44 + 4 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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