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Simplifying -0.08p + -0.06(6 + -3p) = 0.05(p + -2) + -0.021 -0.08p + (6 * -0.06 + -3p * -0.06) = 0.05(p + -2) + -0.021 -0.08p + (-0.36 + 0.18p) = 0.05(p + -2) + -0.021 Reorder the terms: -0.36 + -0.08p + 0.18p = 0.05(p + -2) + -0.021 Combine like terms: -0.08p + 0.18p = 0.1p -0.36 + 0.1p = 0.05(p + -2) + -0.021 Reorder the terms: -0.36 + 0.1p = 0.05(-2 + p) + -0.021 -0.36 + 0.1p = (-2 * 0.05 + p * 0.05) + -0.021 -0.36 + 0.1p = (-0.1 + 0.05p) + -0.021 Reorder the terms: -0.36 + 0.1p = -0.1 + -0.021 + 0.05p Combine like terms: -0.1 + -0.021 = -0.121 -0.36 + 0.1p = -0.121 + 0.05p Solving -0.36 + 0.1p = -0.121 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.36 + 0.1p + -0.05p = -0.121 + 0.05p + -0.05p Combine like terms: 0.1p + -0.05p = 0.05p -0.36 + 0.05p = -0.121 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.36 + 0.05p = -0.121 + 0.00 -0.36 + 0.05p = -0.121 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.05p = -0.121 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.05p = -0.121 + 0.36 0.05p = -0.121 + 0.36 Combine like terms: -0.121 + 0.36 = 0.239 0.05p = 0.239 Divide each side by '0.05'. p = 4.78 Simplifying p = 4.78
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