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Simplifying -0.02p + -0.03(6 + -2) = 0.02(p + -5) + -0.06 Combine like terms: 6 + -2 = 4 -0.02p + -0.03(4) = 0.02(p + -5) + -0.06 Multiply -0.03 * 4 -0.02p + -0.12 = 0.02(p + -5) + -0.06 Reorder the terms: -0.12 + -0.02p = 0.02(p + -5) + -0.06 Reorder the terms: -0.12 + -0.02p = 0.02(-5 + p) + -0.06 -0.12 + -0.02p = (-5 * 0.02 + p * 0.02) + -0.06 -0.12 + -0.02p = (-0.1 + 0.02p) + -0.06 Reorder the terms: -0.12 + -0.02p = -0.1 + -0.06 + 0.02p Combine like terms: -0.1 + -0.06 = -0.16 -0.12 + -0.02p = -0.16 + 0.02p Solving -0.12 + -0.02p = -0.16 + 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. -0.12 + -0.02p + -0.02p = -0.16 + 0.02p + -0.02p Combine like terms: -0.02p + -0.02p = -0.04p -0.12 + -0.04p = -0.16 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.12 + -0.04p = -0.16 + 0.00 -0.12 + -0.04p = -0.16 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.04p = -0.16 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.04p = -0.16 + 0.12 -0.04p = -0.16 + 0.12 Combine like terms: -0.16 + 0.12 = -0.04 -0.04p = -0.04 Divide each side by '-0.04'. p = 1 Simplifying p = 1
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