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Simplifying 6t + 3 = 8t + -21 Reorder the terms: 3 + 6t = 8t + -21 Reorder the terms: 3 + 6t = -21 + 8t Solving 3 + 6t = -21 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 3 + 6t + -8t = -21 + 8t + -8t Combine like terms: 6t + -8t = -2t 3 + -2t = -21 + 8t + -8t Combine like terms: 8t + -8t = 0 3 + -2t = -21 + 0 3 + -2t = -21 Add '-3' to each side of the equation. 3 + -3 + -2t = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -21 + -3 -2t = -21 + -3 Combine like terms: -21 + -3 = -24 -2t = -24 Divide each side by '-2'. t = 12 Simplifying t = 12
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