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Simplifying -0.18p + -0.06(3 + -4p) = 0.04(p + -5) + -0.16 -0.18p + (3 * -0.06 + -4p * -0.06) = 0.04(p + -5) + -0.16 -0.18p + (-0.18 + 0.24p) = 0.04(p + -5) + -0.16 Reorder the terms: -0.18 + -0.18p + 0.24p = 0.04(p + -5) + -0.16 Combine like terms: -0.18p + 0.24p = 0.06p -0.18 + 0.06p = 0.04(p + -5) + -0.16 Reorder the terms: -0.18 + 0.06p = 0.04(-5 + p) + -0.16 -0.18 + 0.06p = (-5 * 0.04 + p * 0.04) + -0.16 -0.18 + 0.06p = (-0.2 + 0.04p) + -0.16 Reorder the terms: -0.18 + 0.06p = -0.2 + -0.16 + 0.04p Combine like terms: -0.2 + -0.16 = -0.36 -0.18 + 0.06p = -0.36 + 0.04p Solving -0.18 + 0.06p = -0.36 + 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 = -0.36 + 0.04p + -0.04p Combine like terms: 0.06p + -0.04p = 0.02p -0.18 + 0.02p = -0.36 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.18 + 0.02p = -0.36 + 0.00 -0.18 + 0.02p = -0.36 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.02p = -0.36 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.02p = -0.36 + 0.18 0.02p = -0.36 + 0.18 Combine like terms: -0.36 + 0.18 = -0.18 0.02p = -0.18 Divide each side by '0.02'. p = -9 Simplifying p = -9
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