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Simplifying 307(5t + 4) = 0.35(t + -3) + 1.33 Reorder the terms: 307(4 + 5t) = 0.35(t + -3) + 1.33 (4 * 307 + 5t * 307) = 0.35(t + -3) + 1.33 (1228 + 1535t) = 0.35(t + -3) + 1.33 Reorder the terms: 1228 + 1535t = 0.35(-3 + t) + 1.33 1228 + 1535t = (-3 * 0.35 + t * 0.35) + 1.33 1228 + 1535t = (-1.05 + 0.35t) + 1.33 Reorder the terms: 1228 + 1535t = -1.05 + 1.33 + 0.35t Combine like terms: -1.05 + 1.33 = 0.28 1228 + 1535t = 0.28 + 0.35t Solving 1228 + 1535t = 0.28 + 0.35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.35t' to each side of the equation. 1228 + 1535t + -0.35t = 0.28 + 0.35t + -0.35t Combine like terms: 1535t + -0.35t = 1534.65t 1228 + 1534.65t = 0.28 + 0.35t + -0.35t Combine like terms: 0.35t + -0.35t = 0.00 1228 + 1534.65t = 0.28 + 0.00 1228 + 1534.65t = 0.28 Add '-1228' to each side of the equation. 1228 + -1228 + 1534.65t = 0.28 + -1228 Combine like terms: 1228 + -1228 = 0 0 + 1534.65t = 0.28 + -1228 1534.65t = 0.28 + -1228 Combine like terms: 0.28 + -1228 = -1227.72 1534.65t = -1227.72 Divide each side by '1534.65'. t = -0.8 Simplifying t = -0.8
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