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Simplifying -0.21p + -0.05(5 + -6p) = 0.5(p + -5) + -0.12 -0.21p + (5 * -0.05 + -6p * -0.05) = 0.5(p + -5) + -0.12 -0.21p + (-0.25 + 0.3p) = 0.5(p + -5) + -0.12 Reorder the terms: -0.25 + -0.21p + 0.3p = 0.5(p + -5) + -0.12 Combine like terms: -0.21p + 0.3p = 0.09p -0.25 + 0.09p = 0.5(p + -5) + -0.12 Reorder the terms: -0.25 + 0.09p = 0.5(-5 + p) + -0.12 -0.25 + 0.09p = (-5 * 0.5 + p * 0.5) + -0.12 -0.25 + 0.09p = (-2.5 + 0.5p) + -0.12 Reorder the terms: -0.25 + 0.09p = -2.5 + -0.12 + 0.5p Combine like terms: -2.5 + -0.12 = -2.62 -0.25 + 0.09p = -2.62 + 0.5p Solving -0.25 + 0.09p = -2.62 + 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. -0.25 + 0.09p + -0.5p = -2.62 + 0.5p + -0.5p Combine like terms: 0.09p + -0.5p = -0.41p -0.25 + -0.41p = -2.62 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 -0.25 + -0.41p = -2.62 + 0.0 -0.25 + -0.41p = -2.62 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.41p = -2.62 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.41p = -2.62 + 0.25 -0.41p = -2.62 + 0.25 Combine like terms: -2.62 + 0.25 = -2.37 -0.41p = -2.37 Divide each side by '-0.41'. p = 5.780487805 Simplifying p = 5.780487805
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