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Simplifying -0.11p + -0.06(4 + -3p) = 0.02(p + -5) + -0.14 -0.11p + (4 * -0.06 + -3p * -0.06) = 0.02(p + -5) + -0.14 -0.11p + (-0.24 + 0.18p) = 0.02(p + -5) + -0.14 Reorder the terms: -0.24 + -0.11p + 0.18p = 0.02(p + -5) + -0.14 Combine like terms: -0.11p + 0.18p = 0.07p -0.24 + 0.07p = 0.02(p + -5) + -0.14 Reorder the terms: -0.24 + 0.07p = 0.02(-5 + p) + -0.14 -0.24 + 0.07p = (-5 * 0.02 + p * 0.02) + -0.14 -0.24 + 0.07p = (-0.1 + 0.02p) + -0.14 Reorder the terms: -0.24 + 0.07p = -0.1 + -0.14 + 0.02p Combine like terms: -0.1 + -0.14 = -0.24 -0.24 + 0.07p = -0.24 + 0.02p Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.07p = -0.24 + 0.24 + 0.02p Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.07p = -0.24 + 0.24 + 0.02p 0.07p = -0.24 + 0.24 + 0.02p Combine like terms: -0.24 + 0.24 = 0.00 0.07p = 0.00 + 0.02p 0.07p = 0.02p Solving 0.07p = 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. 0.07p + -0.02p = 0.02p + -0.02p Combine like terms: 0.07p + -0.02p = 0.05p 0.05p = 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 0.05p = 0.00 Divide each side by '0.05'. p = 0 Simplifying p = 0
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