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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 = -1t -2 + -1t = 6t + -6t Combine like terms: 6t + -6t = 0 -2 + -1t = 0 Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2
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