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Simplifying 10t + -3(t + -6) = 2t Reorder the terms: 10t + -3(-6 + t) = 2t 10t + (-6 * -3 + t * -3) = 2t 10t + (18 + -3t) = 2t Reorder the terms: 18 + 10t + -3t = 2t Combine like terms: 10t + -3t = 7t 18 + 7t = 2t Solving 18 + 7t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 18 + 7t + -2t = 2t + -2t Combine like terms: 7t + -2t = 5t 18 + 5t = 2t + -2t Combine like terms: 2t + -2t = 0 18 + 5t = 0 Add '-18' to each side of the equation. 18 + -18 + 5t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5t = 0 + -18 5t = 0 + -18 Combine like terms: 0 + -18 = -18 5t = -18 Divide each side by '5'. t = -3.6 Simplifying t = -3.6
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