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Simplifying -2(t + -1) + 9t = 3t + -4 Reorder the terms: -2(-1 + t) + 9t = 3t + -4 (-1 * -2 + t * -2) + 9t = 3t + -4 (2 + -2t) + 9t = 3t + -4 Combine like terms: -2t + 9t = 7t 2 + 7t = 3t + -4 Reorder the terms: 2 + 7t = -4 + 3t Solving 2 + 7t = -4 + 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. 2 + 7t + -3t = -4 + 3t + -3t Combine like terms: 7t + -3t = 4t 2 + 4t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 4t = -4 + 0 2 + 4t = -4 Add '-2' to each side of the equation. 2 + -2 + 4t = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 4t = -4 + -2 4t = -4 + -2 Combine like terms: -4 + -2 = -6 4t = -6 Divide each side by '4'. t = -1.5 Simplifying t = -1.5
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