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Simplifying -0.09p + -0.04(4 + -4p) = 0.02(p + -3) + -0.1 -0.09p + (4 * -0.04 + -4p * -0.04) = 0.02(p + -3) + -0.1 -0.09p + (-0.16 + 0.16p) = 0.02(p + -3) + -0.1 Reorder the terms: -0.16 + -0.09p + 0.16p = 0.02(p + -3) + -0.1 Combine like terms: -0.09p + 0.16p = 0.07p -0.16 + 0.07p = 0.02(p + -3) + -0.1 Reorder the terms: -0.16 + 0.07p = 0.02(-3 + p) + -0.1 -0.16 + 0.07p = (-3 * 0.02 + p * 0.02) + -0.1 -0.16 + 0.07p = (-0.06 + 0.02p) + -0.1 Reorder the terms: -0.16 + 0.07p = -0.06 + -0.1 + 0.02p Combine like terms: -0.06 + -0.1 = -0.16 -0.16 + 0.07p = -0.16 + 0.02p Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.07p = -0.16 + 0.16 + 0.02p Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.07p = -0.16 + 0.16 + 0.02p 0.07p = -0.16 + 0.16 + 0.02p Combine like terms: -0.16 + 0.16 = 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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