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Simplifying (-4t + -2e) + 7(-1t + -1e) = 0 Reorder the terms: (-2e + -4t) + 7(-1t + -1e) = 0 Remove parenthesis around (-2e + -4t) -2e + -4t + 7(-1t + -1e) = 0 Reorder the terms: -2e + -4t + 7(-1e + -1t) = 0 -2e + -4t + (-1e * 7 + -1t * 7) = 0 -2e + -4t + (-7e + -7t) = 0 Reorder the terms: -2e + -7e + -4t + -7t = 0 Combine like terms: -2e + -7e = -9e -9e + -4t + -7t = 0 Combine like terms: -4t + -7t = -11t -9e + -11t = 0 Solving -9e + -11t = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '11t' to each side of the equation. -9e + -11t + 11t = 0 + 11t Combine like terms: -11t + 11t = 0 -9e + 0 = 0 + 11t -9e = 0 + 11t Remove the zero: -9e = 11t Divide each side by '-9'. e = -1.222222222t Simplifying e = -1.222222222t
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