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Simplifying 1.4 + -1.2(t + 6) = 4.6 Reorder the terms: 1.4 + -1.2(6 + t) = 4.6 1.4 + (6 * -1.2 + t * -1.2) = 4.6 1.4 + (-7.2 + -1.2t) = 4.6 Combine like terms: 1.4 + -7.2 = -5.8 -5.8 + -1.2t = 4.6 Solving -5.8 + -1.2t = 4.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + -1.2t = 4.6 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -1.2t = 4.6 + 5.8 -1.2t = 4.6 + 5.8 Combine like terms: 4.6 + 5.8 = 10.4 -1.2t = 10.4 Divide each side by '-1.2'. t = -8.666666667 Simplifying t = -8.666666667
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