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Simplifying -0.28p + -0.06(2 + -6p) = 0.06(p + -2) + -0.1 -0.28p + (2 * -0.06 + -6p * -0.06) = 0.06(p + -2) + -0.1 -0.28p + (-0.12 + 0.36p) = 0.06(p + -2) + -0.1 Reorder the terms: -0.12 + -0.28p + 0.36p = 0.06(p + -2) + -0.1 Combine like terms: -0.28p + 0.36p = 0.08p -0.12 + 0.08p = 0.06(p + -2) + -0.1 Reorder the terms: -0.12 + 0.08p = 0.06(-2 + p) + -0.1 -0.12 + 0.08p = (-2 * 0.06 + p * 0.06) + -0.1 -0.12 + 0.08p = (-0.12 + 0.06p) + -0.1 Reorder the terms: -0.12 + 0.08p = -0.12 + -0.1 + 0.06p Combine like terms: -0.12 + -0.1 = -0.22 -0.12 + 0.08p = -0.22 + 0.06p Solving -0.12 + 0.08p = -0.22 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. -0.12 + 0.08p + -0.06p = -0.22 + 0.06p + -0.06p Combine like terms: 0.08p + -0.06p = 0.02p -0.12 + 0.02p = -0.22 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.12 + 0.02p = -0.22 + 0.00 -0.12 + 0.02p = -0.22 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.02p = -0.22 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.02p = -0.22 + 0.12 0.02p = -0.22 + 0.12 Combine like terms: -0.22 + 0.12 = -0.1 0.02p = -0.1 Divide each side by '0.02'. p = -5 Simplifying p = -5
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