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Simplifying -15p + -4(2 + -6p) = 4(p + -2) + -20 -15p + (2 * -4 + -6p * -4) = 4(p + -2) + -20 -15p + (-8 + 24p) = 4(p + -2) + -20 Reorder the terms: -8 + -15p + 24p = 4(p + -2) + -20 Combine like terms: -15p + 24p = 9p -8 + 9p = 4(p + -2) + -20 Reorder the terms: -8 + 9p = 4(-2 + p) + -20 -8 + 9p = (-2 * 4 + p * 4) + -20 -8 + 9p = (-8 + 4p) + -20 Reorder the terms: -8 + 9p = -8 + -20 + 4p Combine like terms: -8 + -20 = -28 -8 + 9p = -28 + 4p Solving -8 + 9p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -8 + 9p + -4p = -28 + 4p + -4p Combine like terms: 9p + -4p = 5p -8 + 5p = -28 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 5p = -28 + 0 -8 + 5p = -28 Add '8' to each side of the equation. -8 + 8 + 5p = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -28 + 8 5p = -28 + 8 Combine like terms: -28 + 8 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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