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Simplifying 2t + 5 = 6t + -9 Reorder the terms: 5 + 2t = 6t + -9 Reorder the terms: 5 + 2t = -9 + 6t Solving 5 + 2t = -9 + 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. 5 + 2t + -6t = -9 + 6t + -6t Combine like terms: 2t + -6t = -4t 5 + -4t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 5 + -4t = -9 + 0 5 + -4t = -9 Add '-5' to each side of the equation. 5 + -5 + -4t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = -9 + -5 -4t = -9 + -5 Combine like terms: -9 + -5 = -14 -4t = -14 Divide each side by '-4'. t = 3.5 Simplifying t = 3.5
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