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Simplifying -2(t + -3) + 9t = 3t + -1 Reorder the terms: -2(-3 + t) + 9t = 3t + -1 (-3 * -2 + t * -2) + 9t = 3t + -1 (6 + -2t) + 9t = 3t + -1 Combine like terms: -2t + 9t = 7t 6 + 7t = 3t + -1 Reorder the terms: 6 + 7t = -1 + 3t Solving 6 + 7t = -1 + 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. 6 + 7t + -3t = -1 + 3t + -3t Combine like terms: 7t + -3t = 4t 6 + 4t = -1 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 4t = -1 + 0 6 + 4t = -1 Add '-6' to each side of the equation. 6 + -6 + 4t = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 4t = -1 + -6 4t = -1 + -6 Combine like terms: -1 + -6 = -7 4t = -7 Divide each side by '4'. t = -1.75 Simplifying t = -1.75
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