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Simplifying 1.4 + -4.6(t + 6) = 4.6 Reorder the terms: 1.4 + -4.6(6 + t) = 4.6 1.4 + (6 * -4.6 + t * -4.6) = 4.6 1.4 + (-27.6 + -4.6t) = 4.6 Combine like terms: 1.4 + -27.6 = -26.2 -26.2 + -4.6t = 4.6 Solving -26.2 + -4.6t = 4.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26.2' to each side of the equation. -26.2 + 26.2 + -4.6t = 4.6 + 26.2 Combine like terms: -26.2 + 26.2 = 0.0 0.0 + -4.6t = 4.6 + 26.2 -4.6t = 4.6 + 26.2 Combine like terms: 4.6 + 26.2 = 30.8 -4.6t = 30.8 Divide each side by '-4.6'. t = -6.695652174 Simplifying t = -6.695652174
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