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Simplifying 0.833(12p + 4) = -13p + 4 Reorder the terms: 0.833(4 + 12p) = -13p + 4 (4 * 0.833 + 12p * 0.833) = -13p + 4 (3.332 + 9.996p) = -13p + 4 Reorder the terms: 3.332 + 9.996p = 4 + -13p Solving 3.332 + 9.996p = 4 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 3.332 + 9.996p + 13p = 4 + -13p + 13p Combine like terms: 9.996p + 13p = 22.996p 3.332 + 22.996p = 4 + -13p + 13p Combine like terms: -13p + 13p = 0 3.332 + 22.996p = 4 + 0 3.332 + 22.996p = 4 Add '-3.332' to each side of the equation. 3.332 + -3.332 + 22.996p = 4 + -3.332 Combine like terms: 3.332 + -3.332 = 0.000 0.000 + 22.996p = 4 + -3.332 22.996p = 4 + -3.332 Combine like terms: 4 + -3.332 = 0.668 22.996p = 0.668 Divide each side by '22.996'. p = 0.02904853018 Simplifying p = 0.02904853018
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