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Simplifying -0.08p + -0.06(5 + -2p) = 0.02(p + -4) + -0.06 -0.08p + (5 * -0.06 + -2p * -0.06) = 0.02(p + -4) + -0.06 -0.08p + (-0.3 + 0.12p) = 0.02(p + -4) + -0.06 Reorder the terms: -0.3 + -0.08p + 0.12p = 0.02(p + -4) + -0.06 Combine like terms: -0.08p + 0.12p = 0.04p -0.3 + 0.04p = 0.02(p + -4) + -0.06 Reorder the terms: -0.3 + 0.04p = 0.02(-4 + p) + -0.06 -0.3 + 0.04p = (-4 * 0.02 + p * 0.02) + -0.06 -0.3 + 0.04p = (-0.08 + 0.02p) + -0.06 Reorder the terms: -0.3 + 0.04p = -0.08 + -0.06 + 0.02p Combine like terms: -0.08 + -0.06 = -0.14 -0.3 + 0.04p = -0.14 + 0.02p Solving -0.3 + 0.04p = -0.14 + 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. -0.3 + 0.04p + -0.02p = -0.14 + 0.02p + -0.02p Combine like terms: 0.04p + -0.02p = 0.02p -0.3 + 0.02p = -0.14 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.3 + 0.02p = -0.14 + 0.00 -0.3 + 0.02p = -0.14 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.02p = -0.14 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.02p = -0.14 + 0.3 0.02p = -0.14 + 0.3 Combine like terms: -0.14 + 0.3 = 0.16 0.02p = 0.16 Divide each side by '0.02'. p = 8 Simplifying p = 8
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