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Simplifying -6p + -4(2 + -4p) = 5(p + -2) + -38 -6p + (2 * -4 + -4p * -4) = 5(p + -2) + -38 -6p + (-8 + 16p) = 5(p + -2) + -38 Reorder the terms: -8 + -6p + 16p = 5(p + -2) + -38 Combine like terms: -6p + 16p = 10p -8 + 10p = 5(p + -2) + -38 Reorder the terms: -8 + 10p = 5(-2 + p) + -38 -8 + 10p = (-2 * 5 + p * 5) + -38 -8 + 10p = (-10 + 5p) + -38 Reorder the terms: -8 + 10p = -10 + -38 + 5p Combine like terms: -10 + -38 = -48 -8 + 10p = -48 + 5p Solving -8 + 10p = -48 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 10p + -5p = -48 + 5p + -5p Combine like terms: 10p + -5p = 5p -8 + 5p = -48 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 5p = -48 + 0 -8 + 5p = -48 Add '8' to each side of the equation. -8 + 8 + 5p = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -48 + 8 5p = -48 + 8 Combine like terms: -48 + 8 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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