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Simplifying 1.4 + -1.6(t + 6) = 4.6 Reorder the terms: 1.4 + -1.6(6 + t) = 4.6 1.4 + (6 * -1.6 + t * -1.6) = 4.6 1.4 + (-9.6 + -1.6t) = 4.6 Combine like terms: 1.4 + -9.6 = -8.2 -8.2 + -1.6t = 4.6 Solving -8.2 + -1.6t = 4.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8.2' to each side of the equation. -8.2 + 8.2 + -1.6t = 4.6 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -1.6t = 4.6 + 8.2 -1.6t = 4.6 + 8.2 Combine like terms: 4.6 + 8.2 = 12.8 -1.6t = 12.8 Divide each side by '-1.6'. t = -8 Simplifying t = -8
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