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Simplifying 6t + 19 = 75 + -2t Reorder the terms: 19 + 6t = 75 + -2t Solving 19 + 6t = 75 + -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. 19 + 6t + 2t = 75 + -2t + 2t Combine like terms: 6t + 2t = 8t 19 + 8t = 75 + -2t + 2t Combine like terms: -2t + 2t = 0 19 + 8t = 75 + 0 19 + 8t = 75 Add '-19' to each side of the equation. 19 + -19 + 8t = 75 + -19 Combine like terms: 19 + -19 = 0 0 + 8t = 75 + -19 8t = 75 + -19 Combine like terms: 75 + -19 = 56 8t = 56 Divide each side by '8'. t = 7 Simplifying t = 7
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