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Simplifying 0.5 + 0.66p + 6 = 4p + -1 + -0.8333p Reorder the terms: 0.5 + 6 + 0.66p = 4p + -1 + -0.8333p Combine like terms: 0.5 + 6 = 6.5 6.5 + 0.66p = 4p + -1 + -0.8333p Reorder the terms: 6.5 + 0.66p = -1 + 4p + -0.8333p Combine like terms: 4p + -0.8333p = 3.1667p 6.5 + 0.66p = -1 + 3.1667p Solving 6.5 + 0.66p = -1 + 3.1667p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.1667p' to each side of the equation. 6.5 + 0.66p + -3.1667p = -1 + 3.1667p + -3.1667p Combine like terms: 0.66p + -3.1667p = -2.5067p 6.5 + -2.5067p = -1 + 3.1667p + -3.1667p Combine like terms: 3.1667p + -3.1667p = 0.0000 6.5 + -2.5067p = -1 + 0.0000 6.5 + -2.5067p = -1 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -2.5067p = -1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -2.5067p = -1 + -6.5 -2.5067p = -1 + -6.5 Combine like terms: -1 + -6.5 = -7.5 -2.5067p = -7.5 Divide each side by '-2.5067'. p = 2.99198149 Simplifying p = 2.99198149
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