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Simplifying 32.9 = 3.5(p + 8) Reorder the terms: 32.9 = 3.5(8 + p) 32.9 = (8 * 3.5 + p * 3.5) 32.9 = (28 + 3.5p) Solving 32.9 = 28 + 3.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.5p' to each side of the equation. 32.9 + -3.5p = 28 + 3.5p + -3.5p Combine like terms: 3.5p + -3.5p = 0.0 32.9 + -3.5p = 28 + 0.0 32.9 + -3.5p = 28 Add '-32.9' to each side of the equation. 32.9 + -32.9 + -3.5p = 28 + -32.9 Combine like terms: 32.9 + -32.9 = 0.0 0.0 + -3.5p = 28 + -32.9 -3.5p = 28 + -32.9 Combine like terms: 28 + -32.9 = -4.9 -3.5p = -4.9 Divide each side by '-3.5'. p = 1.4 Simplifying p = 1.4
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