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Simplifying 100 = 0.5(p + -6) Reorder the terms: 100 = 0.5(-6 + p) 100 = (-6 * 0.5 + p * 0.5) 100 = (-3 + 0.5p) Solving 100 = -3 + 0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5p' to each side of the equation. 100 + -0.5p = -3 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 100 + -0.5p = -3 + 0.0 100 + -0.5p = -3 Add '-100' to each side of the equation. 100 + -100 + -0.5p = -3 + -100 Combine like terms: 100 + -100 = 0 0 + -0.5p = -3 + -100 -0.5p = -3 + -100 Combine like terms: -3 + -100 = -103 -0.5p = -103 Divide each side by '-0.5'. p = 206 Simplifying p = 206
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