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Simplifying 7 + -4 = 0.5(p + 2) + 4 Combine like terms: 7 + -4 = 3 3 = 0.5(p + 2) + 4 Reorder the terms: 3 = 0.5(2 + p) + 4 3 = (2 * 0.5 + p * 0.5) + 4 3 = (1 + 0.5p) + 4 Reorder the terms: 3 = 1 + 4 + 0.5p Combine like terms: 1 + 4 = 5 3 = 5 + 0.5p Solving 3 = 5 + 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. 3 + -0.5p = 5 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 3 + -0.5p = 5 + 0.0 3 + -0.5p = 5 Add '-3' to each side of the equation. 3 + -3 + -0.5p = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5p = 5 + -3 -0.5p = 5 + -3 Combine like terms: 5 + -3 = 2 -0.5p = 2 Divide each side by '-0.5'. p = -4 Simplifying p = -4
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