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Simplifying -6(5 + -1t) = 0.5t (5 * -6 + -1t * -6) = 0.5t (-30 + 6t) = 0.5t Solving -30 + 6t = 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. -30 + 6t + -0.5t = 0.5t + -0.5t Combine like terms: 6t + -0.5t = 5.5t -30 + 5.5t = 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 -30 + 5.5t = 0.0 Add '30' to each side of the equation. -30 + 30 + 5.5t = 0.0 + 30 Combine like terms: -30 + 30 = 0 0 + 5.5t = 0.0 + 30 5.5t = 0.0 + 30 Combine like terms: 0.0 + 30 = 30 5.5t = 30 Divide each side by '5.5'. t = 5.454545455 Simplifying t = 5.454545455
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