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Simplifying 7e + -3(4w + 8) = 11 Reorder the terms: 7e + -3(8 + 4w) = 11 7e + (8 * -3 + 4w * -3) = 11 7e + (-24 + -12w) = 11 Reorder the terms: -24 + 7e + -12w = 11 Solving -24 + 7e + -12w = 11 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 7e + 24 + -12w = 11 + 24 Reorder the terms: -24 + 24 + 7e + -12w = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 7e + -12w = 11 + 24 7e + -12w = 11 + 24 Combine like terms: 11 + 24 = 35 7e + -12w = 35 Add '12w' to each side of the equation. 7e + -12w + 12w = 35 + 12w Combine like terms: -12w + 12w = 0 7e + 0 = 35 + 12w 7e = 35 + 12w Divide each side by '7'. e = 5 + 1.714285714w Simplifying e = 5 + 1.714285714w
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