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Simplifying 0.5(p + 4) = 6p + -9 Reorder the terms: 0.5(4 + p) = 6p + -9 (4 * 0.5 + p * 0.5) = 6p + -9 (2 + 0.5p) = 6p + -9 Reorder the terms: 2 + 0.5p = -9 + 6p Solving 2 + 0.5p = -9 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 2 + 0.5p + -6p = -9 + 6p + -6p Combine like terms: 0.5p + -6p = -5.5p 2 + -5.5p = -9 + 6p + -6p Combine like terms: 6p + -6p = 0 2 + -5.5p = -9 + 0 2 + -5.5p = -9 Add '-2' to each side of the equation. 2 + -2 + -5.5p = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -5.5p = -9 + -2 -5.5p = -9 + -2 Combine like terms: -9 + -2 = -11 -5.5p = -11 Divide each side by '-5.5'. p = 2 Simplifying p = 2
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