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Simplifying 5(t + 0.4) = -6t Reorder the terms: 5(0.4 + t) = -6t (0.4 * 5 + t * 5) = -6t (2 + 5t) = -6t Solving 2 + 5t = -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 2 + 5t + 6t = -6t + 6t Combine like terms: 5t + 6t = 11t 2 + 11t = -6t + 6t Combine like terms: -6t + 6t = 0 2 + 11t = 0 Add '-2' to each side of the equation. 2 + -2 + 11t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11t = 0 + -2 11t = 0 + -2 Combine like terms: 0 + -2 = -2 11t = -2 Divide each side by '11'. t = -0.1818181818 Simplifying t = -0.1818181818
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