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Simplifying 0.02p + -0.03(3 + -3p) = 0.06(p + -2) + -0.17 0.02p + (3 * -0.03 + -3p * -0.03) = 0.06(p + -2) + -0.17 0.02p + (-0.09 + 0.09p) = 0.06(p + -2) + -0.17 Reorder the terms: -0.09 + 0.02p + 0.09p = 0.06(p + -2) + -0.17 Combine like terms: 0.02p + 0.09p = 0.11p -0.09 + 0.11p = 0.06(p + -2) + -0.17 Reorder the terms: -0.09 + 0.11p = 0.06(-2 + p) + -0.17 -0.09 + 0.11p = (-2 * 0.06 + p * 0.06) + -0.17 -0.09 + 0.11p = (-0.12 + 0.06p) + -0.17 Reorder the terms: -0.09 + 0.11p = -0.12 + -0.17 + 0.06p Combine like terms: -0.12 + -0.17 = -0.29 -0.09 + 0.11p = -0.29 + 0.06p Solving -0.09 + 0.11p = -0.29 + 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. -0.09 + 0.11p + -0.06p = -0.29 + 0.06p + -0.06p Combine like terms: 0.11p + -0.06p = 0.05p -0.09 + 0.05p = -0.29 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.09 + 0.05p = -0.29 + 0.00 -0.09 + 0.05p = -0.29 Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.05p = -0.29 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.05p = -0.29 + 0.09 0.05p = -0.29 + 0.09 Combine like terms: -0.29 + 0.09 = -0.2 0.05p = -0.2 Divide each side by '0.05'. p = -4 Simplifying p = -4
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