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Simplifying -0.12p + -0.04(3 + -5p) = 0.06(p + -4) + -0.1 -0.12p + (3 * -0.04 + -5p * -0.04) = 0.06(p + -4) + -0.1 -0.12p + (-0.12 + 0.2p) = 0.06(p + -4) + -0.1 Reorder the terms: -0.12 + -0.12p + 0.2p = 0.06(p + -4) + -0.1 Combine like terms: -0.12p + 0.2p = 0.08p -0.12 + 0.08p = 0.06(p + -4) + -0.1 Reorder the terms: -0.12 + 0.08p = 0.06(-4 + p) + -0.1 -0.12 + 0.08p = (-4 * 0.06 + p * 0.06) + -0.1 -0.12 + 0.08p = (-0.24 + 0.06p) + -0.1 Reorder the terms: -0.12 + 0.08p = -0.24 + -0.1 + 0.06p Combine like terms: -0.24 + -0.1 = -0.34 -0.12 + 0.08p = -0.34 + 0.06p Solving -0.12 + 0.08p = -0.34 + 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 = -0.34 + 0.06p + -0.06p Combine like terms: 0.08p + -0.06p = 0.02p -0.12 + 0.02p = -0.34 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.12 + 0.02p = -0.34 + 0.00 -0.12 + 0.02p = -0.34 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.02p = -0.34 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.02p = -0.34 + 0.12 0.02p = -0.34 + 0.12 Combine like terms: -0.34 + 0.12 = -0.22 0.02p = -0.22 Divide each side by '0.02'. p = -11 Simplifying p = -11
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