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Simplifying 0.5(p + 2) = p + 2 + 10 Reorder the terms: 0.5(2 + p) = p + 2 + 10 (2 * 0.5 + p * 0.5) = p + 2 + 10 (1 + 0.5p) = p + 2 + 10 Reorder the terms: 1 + 0.5p = 2 + 10 + p Combine like terms: 2 + 10 = 12 1 + 0.5p = 12 + p Solving 1 + 0.5p = 12 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 1 + 0.5p + -1p = 12 + p + -1p Combine like terms: 0.5p + -1p = -0.5p 1 + -0.5p = 12 + p + -1p Combine like terms: p + -1p = 0 1 + -0.5p = 12 + 0 1 + -0.5p = 12 Add '-1' to each side of the equation. 1 + -1 + -0.5p = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5p = 12 + -1 -0.5p = 12 + -1 Combine like terms: 12 + -1 = 11 -0.5p = 11 Divide each side by '-0.5'. p = -22 Simplifying p = -22
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