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Simplifying 7t + -0.5(t + -1) = 3 + -6t Reorder the terms: 7t + -0.5(-1 + t) = 3 + -6t 7t + (-1 * -0.5 + t * -0.5) = 3 + -6t 7t + (0.5 + -0.5t) = 3 + -6t Reorder the terms: 0.5 + 7t + -0.5t = 3 + -6t Combine like terms: 7t + -0.5t = 6.5t 0.5 + 6.5t = 3 + -6t Solving 0.5 + 6.5t = 3 + -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. 0.5 + 6.5t + 6t = 3 + -6t + 6t Combine like terms: 6.5t + 6t = 12.5t 0.5 + 12.5t = 3 + -6t + 6t Combine like terms: -6t + 6t = 0 0.5 + 12.5t = 3 + 0 0.5 + 12.5t = 3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 12.5t = 3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 12.5t = 3 + -0.5 12.5t = 3 + -0.5 Combine like terms: 3 + -0.5 = 2.5 12.5t = 2.5 Divide each side by '12.5'. t = 0.2 Simplifying t = 0.2
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