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Simplifying 4(p + 8) = 2(r + -6) Reorder the terms: 4(8 + p) = 2(r + -6) (8 * 4 + p * 4) = 2(r + -6) (32 + 4p) = 2(r + -6) Reorder the terms: 32 + 4p = 2(-6 + r) 32 + 4p = (-6 * 2 + r * 2) 32 + 4p = (-12 + 2r) Solving 32 + 4p = -12 + 2r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4p = -12 + -32 + 2r Combine like terms: 32 + -32 = 0 0 + 4p = -12 + -32 + 2r 4p = -12 + -32 + 2r Combine like terms: -12 + -32 = -44 4p = -44 + 2r Divide each side by '4'. p = -11 + 0.5r Simplifying p = -11 + 0.5r
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