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Simplifying 1.4 + -1.5(t + 6) = 4.6 Reorder the terms: 1.4 + -1.5(6 + t) = 4.6 1.4 + (6 * -1.5 + t * -1.5) = 4.6 1.4 + (-9 + -1.5t) = 4.6 Combine like terms: 1.4 + -9 = -7.6 -7.6 + -1.5t = 4.6 Solving -7.6 + -1.5t = 4.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.6' to each side of the equation. -7.6 + 7.6 + -1.5t = 4.6 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + -1.5t = 4.6 + 7.6 -1.5t = 4.6 + 7.6 Combine like terms: 4.6 + 7.6 = 12.2 -1.5t = 12.2 Divide each side by '-1.5'. t = -8.133333333 Simplifying t = -8.133333333
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