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Simplifying -0.07p + -0.03(6 + -4p) = 0.02(p + -5) + -0.02 -0.07p + (6 * -0.03 + -4p * -0.03) = 0.02(p + -5) + -0.02 -0.07p + (-0.18 + 0.12p) = 0.02(p + -5) + -0.02 Reorder the terms: -0.18 + -0.07p + 0.12p = 0.02(p + -5) + -0.02 Combine like terms: -0.07p + 0.12p = 0.05p -0.18 + 0.05p = 0.02(p + -5) + -0.02 Reorder the terms: -0.18 + 0.05p = 0.02(-5 + p) + -0.02 -0.18 + 0.05p = (-5 * 0.02 + p * 0.02) + -0.02 -0.18 + 0.05p = (-0.1 + 0.02p) + -0.02 Reorder the terms: -0.18 + 0.05p = -0.1 + -0.02 + 0.02p Combine like terms: -0.1 + -0.02 = -0.12 -0.18 + 0.05p = -0.12 + 0.02p Solving -0.18 + 0.05p = -0.12 + 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. -0.18 + 0.05p + -0.02p = -0.12 + 0.02p + -0.02p Combine like terms: 0.05p + -0.02p = 0.03p -0.18 + 0.03p = -0.12 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.18 + 0.03p = -0.12 + 0.00 -0.18 + 0.03p = -0.12 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.03p = -0.12 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.03p = -0.12 + 0.18 0.03p = -0.12 + 0.18 Combine like terms: -0.12 + 0.18 = 0.06 0.03p = 0.06 Divide each side by '0.03'. p = 2 Simplifying p = 2
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