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Simplifying -0.06p + -0.03(6 + -4p) = 0.04(p + -3) + -0.1 -0.06p + (6 * -0.03 + -4p * -0.03) = 0.04(p + -3) + -0.1 -0.06p + (-0.18 + 0.12p) = 0.04(p + -3) + -0.1 Reorder the terms: -0.18 + -0.06p + 0.12p = 0.04(p + -3) + -0.1 Combine like terms: -0.06p + 0.12p = 0.06p -0.18 + 0.06p = 0.04(p + -3) + -0.1 Reorder the terms: -0.18 + 0.06p = 0.04(-3 + p) + -0.1 -0.18 + 0.06p = (-3 * 0.04 + p * 0.04) + -0.1 -0.18 + 0.06p = (-0.12 + 0.04p) + -0.1 Reorder the terms: -0.18 + 0.06p = -0.12 + -0.1 + 0.04p Combine like terms: -0.12 + -0.1 = -0.22 -0.18 + 0.06p = -0.22 + 0.04p Solving -0.18 + 0.06p = -0.22 + 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. -0.18 + 0.06p + -0.04p = -0.22 + 0.04p + -0.04p Combine like terms: 0.06p + -0.04p = 0.02p -0.18 + 0.02p = -0.22 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.18 + 0.02p = -0.22 + 0.00 -0.18 + 0.02p = -0.22 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.02p = -0.22 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.02p = -0.22 + 0.18 0.02p = -0.22 + 0.18 Combine like terms: -0.22 + 0.18 = -0.04 0.02p = -0.04 Divide each side by '0.02'. p = -2 Simplifying p = -2
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