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Simplifying -0.02p + -0.02(6 + -4p) = 0.04(p + -4) + -0.14 -0.02p + (6 * -0.02 + -4p * -0.02) = 0.04(p + -4) + -0.14 -0.02p + (-0.12 + 0.08p) = 0.04(p + -4) + -0.14 Reorder the terms: -0.12 + -0.02p + 0.08p = 0.04(p + -4) + -0.14 Combine like terms: -0.02p + 0.08p = 0.06p -0.12 + 0.06p = 0.04(p + -4) + -0.14 Reorder the terms: -0.12 + 0.06p = 0.04(-4 + p) + -0.14 -0.12 + 0.06p = (-4 * 0.04 + p * 0.04) + -0.14 -0.12 + 0.06p = (-0.16 + 0.04p) + -0.14 Reorder the terms: -0.12 + 0.06p = -0.16 + -0.14 + 0.04p Combine like terms: -0.16 + -0.14 = -0.3 -0.12 + 0.06p = -0.3 + 0.04p Solving -0.12 + 0.06p = -0.3 + 0.04p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04p' to each side of the equation. -0.12 + 0.06p + -0.04p = -0.3 + 0.04p + -0.04p Combine like terms: 0.06p + -0.04p = 0.02p -0.12 + 0.02p = -0.3 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.12 + 0.02p = -0.3 + 0.00 -0.12 + 0.02p = -0.3 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.02p = -0.3 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.02p = -0.3 + 0.12 0.02p = -0.3 + 0.12 Combine like terms: -0.3 + 0.12 = -0.18 0.02p = -0.18 Divide each side by '0.02'. p = -9 Simplifying p = -9
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