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Simplifying 5(1t + -0.4) = -6t Reorder the terms: 5(-0.4 + 1t) = -6t (-0.4 * 5 + 1t * 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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