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Simplifying 4t + -5 + 6t = 2t + -9 Reorder the terms: -5 + 4t + 6t = 2t + -9 Combine like terms: 4t + 6t = 10t -5 + 10t = 2t + -9 Reorder the terms: -5 + 10t = -9 + 2t Solving -5 + 10t = -9 + 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. -5 + 10t + -2t = -9 + 2t + -2t Combine like terms: 10t + -2t = 8t -5 + 8t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 -5 + 8t = -9 + 0 -5 + 8t = -9 Add '5' to each side of the equation. -5 + 5 + 8t = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = -9 + 5 8t = -9 + 5 Combine like terms: -9 + 5 = -4 8t = -4 Divide each side by '8'. t = -0.5 Simplifying t = -0.5
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