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Simplifying t + -6 + -4t = 2t + 9 Reorder the terms: -6 + t + -4t = 2t + 9 Combine like terms: t + -4t = -3t -6 + -3t = 2t + 9 Reorder the terms: -6 + -3t = 9 + 2t Solving -6 + -3t = 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. -6 + -3t + -2t = 9 + 2t + -2t Combine like terms: -3t + -2t = -5t -6 + -5t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + -5t = 9 + 0 -6 + -5t = 9 Add '6' to each side of the equation. -6 + 6 + -5t = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5t = 9 + 6 -5t = 9 + 6 Combine like terms: 9 + 6 = 15 -5t = 15 Divide each side by '-5'. t = -3 Simplifying t = -3
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