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Simplifying -0.17p + -0.06(4 + -4p) = 0.03(p + -6) + -0.18 -0.17p + (4 * -0.06 + -4p * -0.06) = 0.03(p + -6) + -0.18 -0.17p + (-0.24 + 0.24p) = 0.03(p + -6) + -0.18 Reorder the terms: -0.24 + -0.17p + 0.24p = 0.03(p + -6) + -0.18 Combine like terms: -0.17p + 0.24p = 0.07p -0.24 + 0.07p = 0.03(p + -6) + -0.18 Reorder the terms: -0.24 + 0.07p = 0.03(-6 + p) + -0.18 -0.24 + 0.07p = (-6 * 0.03 + p * 0.03) + -0.18 -0.24 + 0.07p = (-0.18 + 0.03p) + -0.18 Reorder the terms: -0.24 + 0.07p = -0.18 + -0.18 + 0.03p Combine like terms: -0.18 + -0.18 = -0.36 -0.24 + 0.07p = -0.36 + 0.03p Solving -0.24 + 0.07p = -0.36 + 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. -0.24 + 0.07p + -0.03p = -0.36 + 0.03p + -0.03p Combine like terms: 0.07p + -0.03p = 0.04p -0.24 + 0.04p = -0.36 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.24 + 0.04p = -0.36 + 0.00 -0.24 + 0.04p = -0.36 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04p = -0.36 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04p = -0.36 + 0.24 0.04p = -0.36 + 0.24 Combine like terms: -0.36 + 0.24 = -0.12 0.04p = -0.12 Divide each side by '0.04'. p = -3 Simplifying p = -3
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