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Simplifying -0.16p + -0.04(3 + -6p) = 0.05(p + -2) + -0.11 -0.16p + (3 * -0.04 + -6p * -0.04) = 0.05(p + -2) + -0.11 -0.16p + (-0.12 + 0.24p) = 0.05(p + -2) + -0.11 Reorder the terms: -0.12 + -0.16p + 0.24p = 0.05(p + -2) + -0.11 Combine like terms: -0.16p + 0.24p = 0.08p -0.12 + 0.08p = 0.05(p + -2) + -0.11 Reorder the terms: -0.12 + 0.08p = 0.05(-2 + p) + -0.11 -0.12 + 0.08p = (-2 * 0.05 + p * 0.05) + -0.11 -0.12 + 0.08p = (-0.1 + 0.05p) + -0.11 Reorder the terms: -0.12 + 0.08p = -0.1 + -0.11 + 0.05p Combine like terms: -0.1 + -0.11 = -0.21 -0.12 + 0.08p = -0.21 + 0.05p Solving -0.12 + 0.08p = -0.21 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.12 + 0.08p + -0.05p = -0.21 + 0.05p + -0.05p Combine like terms: 0.08p + -0.05p = 0.03p -0.12 + 0.03p = -0.21 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.12 + 0.03p = -0.21 + 0.00 -0.12 + 0.03p = -0.21 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.03p = -0.21 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.03p = -0.21 + 0.12 0.03p = -0.21 + 0.12 Combine like terms: -0.21 + 0.12 = -0.09 0.03p = -0.09 Divide each side by '0.03'. p = -3 Simplifying p = -3
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