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Simplifying 6 + -3t = 5(2 + -1t) 6 + -3t = (2 * 5 + -1t * 5) 6 + -3t = (10 + -5t) Solving 6 + -3t = 10 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 6 + -3t + 5t = 10 + -5t + 5t Combine like terms: -3t + 5t = 2t 6 + 2t = 10 + -5t + 5t Combine like terms: -5t + 5t = 0 6 + 2t = 10 + 0 6 + 2t = 10 Add '-6' to each side of the equation. 6 + -6 + 2t = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = 10 + -6 2t = 10 + -6 Combine like terms: 10 + -6 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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