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Simplifying -0.07p + -0.02(6 + -6p) = 0.03(p + -4) + -0.04 -0.07p + (6 * -0.02 + -6p * -0.02) = 0.03(p + -4) + -0.04 -0.07p + (-0.12 + 0.12p) = 0.03(p + -4) + -0.04 Reorder the terms: -0.12 + -0.07p + 0.12p = 0.03(p + -4) + -0.04 Combine like terms: -0.07p + 0.12p = 0.05p -0.12 + 0.05p = 0.03(p + -4) + -0.04 Reorder the terms: -0.12 + 0.05p = 0.03(-4 + p) + -0.04 -0.12 + 0.05p = (-4 * 0.03 + p * 0.03) + -0.04 -0.12 + 0.05p = (-0.12 + 0.03p) + -0.04 Reorder the terms: -0.12 + 0.05p = -0.12 + -0.04 + 0.03p Combine like terms: -0.12 + -0.04 = -0.16 -0.12 + 0.05p = -0.16 + 0.03p Solving -0.12 + 0.05p = -0.16 + 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. -0.12 + 0.05p + -0.03p = -0.16 + 0.03p + -0.03p Combine like terms: 0.05p + -0.03p = 0.02p -0.12 + 0.02p = -0.16 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.12 + 0.02p = -0.16 + 0.00 -0.12 + 0.02p = -0.16 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.02p = -0.16 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.02p = -0.16 + 0.12 0.02p = -0.16 + 0.12 Combine like terms: -0.16 + 0.12 = -0.04 0.02p = -0.04 Divide each side by '0.02'. p = -2 Simplifying p = -2
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