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Simplifying (7r + -4e) + 3r = 0 Reorder the terms: (-4e + 7r) + 3r = 0 Remove parenthesis around (-4e + 7r) -4e + 7r + 3r = 0 Combine like terms: 7r + 3r = 10r -4e + 10r = 0 Solving -4e + 10r = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10r' to each side of the equation. -4e + 10r + -10r = 0 + -10r Combine like terms: 10r + -10r = 0 -4e + 0 = 0 + -10r -4e = 0 + -10r Remove the zero: -4e = -10r Divide each side by '-4'. e = 2.5r Simplifying e = 2.5r
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