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Simplifying 3t + -5 + 2t + -7 = 4t + 6 + -7t + -9 Reorder the terms: -5 + -7 + 3t + 2t = 4t + 6 + -7t + -9 Combine like terms: -5 + -7 = -12 -12 + 3t + 2t = 4t + 6 + -7t + -9 Combine like terms: 3t + 2t = 5t -12 + 5t = 4t + 6 + -7t + -9 Reorder the terms: -12 + 5t = 6 + -9 + 4t + -7t Combine like terms: 6 + -9 = -3 -12 + 5t = -3 + 4t + -7t Combine like terms: 4t + -7t = -3t -12 + 5t = -3 + -3t Solving -12 + 5t = -3 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -12 + 5t + 3t = -3 + -3t + 3t Combine like terms: 5t + 3t = 8t -12 + 8t = -3 + -3t + 3t Combine like terms: -3t + 3t = 0 -12 + 8t = -3 + 0 -12 + 8t = -3 Add '12' to each side of the equation. -12 + 12 + 8t = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 8t = -3 + 12 8t = -3 + 12 Combine like terms: -3 + 12 = 9 8t = 9 Divide each side by '8'. t = 1.125 Simplifying t = 1.125
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