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Simplifying 6p + -2(5 + -2p) = 6(p + -6) + -38 6p + (5 * -2 + -2p * -2) = 6(p + -6) + -38 6p + (-10 + 4p) = 6(p + -6) + -38 Reorder the terms: -10 + 6p + 4p = 6(p + -6) + -38 Combine like terms: 6p + 4p = 10p -10 + 10p = 6(p + -6) + -38 Reorder the terms: -10 + 10p = 6(-6 + p) + -38 -10 + 10p = (-6 * 6 + p * 6) + -38 -10 + 10p = (-36 + 6p) + -38 Reorder the terms: -10 + 10p = -36 + -38 + 6p Combine like terms: -36 + -38 = -74 -10 + 10p = -74 + 6p Solving -10 + 10p = -74 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -10 + 10p + -6p = -74 + 6p + -6p Combine like terms: 10p + -6p = 4p -10 + 4p = -74 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + 4p = -74 + 0 -10 + 4p = -74 Add '10' to each side of the equation. -10 + 10 + 4p = -74 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = -74 + 10 4p = -74 + 10 Combine like terms: -74 + 10 = -64 4p = -64 Divide each side by '4'. p = -16 Simplifying p = -16
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