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Simplifying -0.21p + -0.05(2 + -5p) = 0.02(p + -6) * 0.18 -0.21p + (2 * -0.05 + -5p * -0.05) = 0.02(p + -6) * 0.18 -0.21p + (-0.1 + 0.25p) = 0.02(p + -6) * 0.18 Reorder the terms: -0.1 + -0.21p + 0.25p = 0.02(p + -6) * 0.18 Combine like terms: -0.21p + 0.25p = 0.04p -0.1 + 0.04p = 0.02(p + -6) * 0.18 Reorder the terms: -0.1 + 0.04p = 0.02(-6 + p) * 0.18 Reorder the terms for easier multiplication: -0.1 + 0.04p = 0.02 * 0.18(-6 + p) Multiply 0.02 * 0.18 -0.1 + 0.04p = 0.0036(-6 + p) -0.1 + 0.04p = (-6 * 0.0036 + p * 0.0036) -0.1 + 0.04p = (-0.0216 + 0.0036p) Solving -0.1 + 0.04p = -0.0216 + 0.0036p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.0036p' to each side of the equation. -0.1 + 0.04p + -0.0036p = -0.0216 + 0.0036p + -0.0036p Combine like terms: 0.04p + -0.0036p = 0.0364p -0.1 + 0.0364p = -0.0216 + 0.0036p + -0.0036p Combine like terms: 0.0036p + -0.0036p = 0.0000 -0.1 + 0.0364p = -0.0216 + 0.0000 -0.1 + 0.0364p = -0.0216 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.0364p = -0.0216 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.0364p = -0.0216 + 0.1 0.0364p = -0.0216 + 0.1 Combine like terms: -0.0216 + 0.1 = 0.0784 0.0364p = 0.0784 Divide each side by '0.0364'. p = 2.153846154 Simplifying p = 2.153846154
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