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Simplifying -0.12p + -0.06(6 + -3p) = 0.02(p + -3) + -0.22 -0.12p + (6 * -0.06 + -3p * -0.06) = 0.02(p + -3) + -0.22 -0.12p + (-0.36 + 0.18p) = 0.02(p + -3) + -0.22 Reorder the terms: -0.36 + -0.12p + 0.18p = 0.02(p + -3) + -0.22 Combine like terms: -0.12p + 0.18p = 0.06p -0.36 + 0.06p = 0.02(p + -3) + -0.22 Reorder the terms: -0.36 + 0.06p = 0.02(-3 + p) + -0.22 -0.36 + 0.06p = (-3 * 0.02 + p * 0.02) + -0.22 -0.36 + 0.06p = (-0.06 + 0.02p) + -0.22 Reorder the terms: -0.36 + 0.06p = -0.06 + -0.22 + 0.02p Combine like terms: -0.06 + -0.22 = -0.28 -0.36 + 0.06p = -0.28 + 0.02p Solving -0.36 + 0.06p = -0.28 + 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. -0.36 + 0.06p + -0.02p = -0.28 + 0.02p + -0.02p Combine like terms: 0.06p + -0.02p = 0.04p -0.36 + 0.04p = -0.28 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.36 + 0.04p = -0.28 + 0.00 -0.36 + 0.04p = -0.28 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.04p = -0.28 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.04p = -0.28 + 0.36 0.04p = -0.28 + 0.36 Combine like terms: -0.28 + 0.36 = 0.08 0.04p = 0.08 Divide each side by '0.04'. p = 2 Simplifying p = 2
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