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Simplifying -0.02p + -0.05(2 + -2p) = 0.06(p + -6) + -0.14 -0.02p + (2 * -0.05 + -2p * -0.05) = 0.06(p + -6) + -0.14 -0.02p + (-0.1 + 0.1p) = 0.06(p + -6) + -0.14 Reorder the terms: -0.1 + -0.02p + 0.1p = 0.06(p + -6) + -0.14 Combine like terms: -0.02p + 0.1p = 0.08p -0.1 + 0.08p = 0.06(p + -6) + -0.14 Reorder the terms: -0.1 + 0.08p = 0.06(-6 + p) + -0.14 -0.1 + 0.08p = (-6 * 0.06 + p * 0.06) + -0.14 -0.1 + 0.08p = (-0.36 + 0.06p) + -0.14 Reorder the terms: -0.1 + 0.08p = -0.36 + -0.14 + 0.06p Combine like terms: -0.36 + -0.14 = -0.5 -0.1 + 0.08p = -0.5 + 0.06p Solving -0.1 + 0.08p = -0.5 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. -0.1 + 0.08p + -0.06p = -0.5 + 0.06p + -0.06p Combine like terms: 0.08p + -0.06p = 0.02p -0.1 + 0.02p = -0.5 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.1 + 0.02p = -0.5 + 0.00 -0.1 + 0.02p = -0.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.02p = -0.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.02p = -0.5 + 0.1 0.02p = -0.5 + 0.1 Combine like terms: -0.5 + 0.1 = -0.4 0.02p = -0.4 Divide each side by '0.02'. p = -20 Simplifying p = -20
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