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Simplifying -7(3e + -2f + 4) + 6e + -2 = k Reorder the terms: -7(4 + 3e + -2f) + 6e + -2 = k (4 * -7 + 3e * -7 + -2f * -7) + 6e + -2 = k (-28 + -21e + 14f) + 6e + -2 = k Reorder the terms: -28 + -2 + -21e + 6e + 14f = k Combine like terms: -28 + -2 = -30 -30 + -21e + 6e + 14f = k Combine like terms: -21e + 6e = -15e -30 + -15e + 14f = k Solving -30 + -15e + 14f = k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -15e + 30 + 14f = 30 + k Reorder the terms: -30 + 30 + -15e + 14f = 30 + k Combine like terms: -30 + 30 = 0 0 + -15e + 14f = 30 + k -15e + 14f = 30 + k Add '-14f' to each side of the equation. -15e + 14f + -14f = 30 + -14f + k Combine like terms: 14f + -14f = 0 -15e + 0 = 30 + -14f + k -15e = 30 + -14f + k Divide each side by '-15'. e = -2 + 0.9333333333f + -0.06666666667k Simplifying e = -2 + 0.9333333333f + -0.06666666667k
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