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Simplifying -7p + -4(2 + -4p) = 4(p + -4) + -32 -7p + (2 * -4 + -4p * -4) = 4(p + -4) + -32 -7p + (-8 + 16p) = 4(p + -4) + -32 Reorder the terms: -8 + -7p + 16p = 4(p + -4) + -32 Combine like terms: -7p + 16p = 9p -8 + 9p = 4(p + -4) + -32 Reorder the terms: -8 + 9p = 4(-4 + p) + -32 -8 + 9p = (-4 * 4 + p * 4) + -32 -8 + 9p = (-16 + 4p) + -32 Reorder the terms: -8 + 9p = -16 + -32 + 4p Combine like terms: -16 + -32 = -48 -8 + 9p = -48 + 4p Solving -8 + 9p = -48 + 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 = -48 + 4p + -4p Combine like terms: 9p + -4p = 5p -8 + 5p = -48 + 4p + -4p Combine like terms: 4p + -4p = 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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