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Simplifying 11.5 + 41.1t = 6 + 3.2(t + -4) Reorder the terms: 11.5 + 41.1t = 6 + 3.2(-4 + t) 11.5 + 41.1t = 6 + (-4 * 3.2 + t * 3.2) 11.5 + 41.1t = 6 + (-12.8 + 3.2t) Combine like terms: 6 + -12.8 = -6.8 11.5 + 41.1t = -6.8 + 3.2t Solving 11.5 + 41.1t = -6.8 + 3.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2t' to each side of the equation. 11.5 + 41.1t + -3.2t = -6.8 + 3.2t + -3.2t Combine like terms: 41.1t + -3.2t = 37.9t 11.5 + 37.9t = -6.8 + 3.2t + -3.2t Combine like terms: 3.2t + -3.2t = 0.0 11.5 + 37.9t = -6.8 + 0.0 11.5 + 37.9t = -6.8 Add '-11.5' to each side of the equation. 11.5 + -11.5 + 37.9t = -6.8 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + 37.9t = -6.8 + -11.5 37.9t = -6.8 + -11.5 Combine like terms: -6.8 + -11.5 = -18.3 37.9t = -18.3 Divide each side by '37.9'. t = -0.4828496042 Simplifying t = -0.4828496042
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