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Simplifying 18 = 0.5(et + -1t + -1) Reorder the terms: 18 = 0.5(-1 + et + -1t) 18 = (-1 * 0.5 + et * 0.5 + -1t * 0.5) 18 = (-0.5 + 0.5et + -0.5t) Solving 18 = -0.5 + 0.5et + -0.5t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-0.5et' to each side of the equation. 18 + -0.5et = -0.5 + 0.5et + -0.5et + -0.5t Combine like terms: 0.5et + -0.5et = 0.0 18 + -0.5et = -0.5 + 0.0 + -0.5t 18 + -0.5et = -0.5 + -0.5t Add '-18' to each side of the equation. 18 + -18 + -0.5et = -0.5 + -18 + -0.5t Combine like terms: 18 + -18 = 0 0 + -0.5et = -0.5 + -18 + -0.5t -0.5et = -0.5 + -18 + -0.5t Combine like terms: -0.5 + -18 = -18.5 -0.5et = -18.5 + -0.5t Divide each side by '-0.5t'. e = 37t-1 + 1 Simplifying e = 37t-1 + 1 Reorder the terms: e = 1 + 37t-1
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