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Simplifying -0.09p + -0.04(3 + -5p) = 0.06(p + -2) + -0.35 -0.09p + (3 * -0.04 + -5p * -0.04) = 0.06(p + -2) + -0.35 -0.09p + (-0.12 + 0.2p) = 0.06(p + -2) + -0.35 Reorder the terms: -0.12 + -0.09p + 0.2p = 0.06(p + -2) + -0.35 Combine like terms: -0.09p + 0.2p = 0.11p -0.12 + 0.11p = 0.06(p + -2) + -0.35 Reorder the terms: -0.12 + 0.11p = 0.06(-2 + p) + -0.35 -0.12 + 0.11p = (-2 * 0.06 + p * 0.06) + -0.35 -0.12 + 0.11p = (-0.12 + 0.06p) + -0.35 Reorder the terms: -0.12 + 0.11p = -0.12 + -0.35 + 0.06p Combine like terms: -0.12 + -0.35 = -0.47 -0.12 + 0.11p = -0.47 + 0.06p Solving -0.12 + 0.11p = -0.47 + 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. -0.12 + 0.11p + -0.06p = -0.47 + 0.06p + -0.06p Combine like terms: 0.11p + -0.06p = 0.05p -0.12 + 0.05p = -0.47 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.12 + 0.05p = -0.47 + 0.00 -0.12 + 0.05p = -0.47 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.05p = -0.47 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.05p = -0.47 + 0.12 0.05p = -0.47 + 0.12 Combine like terms: -0.47 + 0.12 = -0.35 0.05p = -0.35 Divide each side by '0.05'. p = -7 Simplifying p = -7
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