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Simplifying 0.5 + 0.66p + 6 = 4p + -1 + -0.83p Reorder the terms: 0.5 + 6 + 0.66p = 4p + -1 + -0.83p Combine like terms: 0.5 + 6 = 6.5 6.5 + 0.66p = 4p + -1 + -0.83p Reorder the terms: 6.5 + 0.66p = -1 + 4p + -0.83p Combine like terms: 4p + -0.83p = 3.17p 6.5 + 0.66p = -1 + 3.17p Solving 6.5 + 0.66p = -1 + 3.17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.17p' to each side of the equation. 6.5 + 0.66p + -3.17p = -1 + 3.17p + -3.17p Combine like terms: 0.66p + -3.17p = -2.51p 6.5 + -2.51p = -1 + 3.17p + -3.17p Combine like terms: 3.17p + -3.17p = 0.00 6.5 + -2.51p = -1 + 0.00 6.5 + -2.51p = -1 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -2.51p = -1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -2.51p = -1 + -6.5 -2.51p = -1 + -6.5 Combine like terms: -1 + -6.5 = -7.5 -2.51p = -7.5 Divide each side by '-2.51'. p = 2.988047809 Simplifying p = 2.988047809
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