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Simplifying -2(t + -3) + 9t = 4t + -7 Reorder the terms: -2(-3 + t) + 9t = 4t + -7 (-3 * -2 + t * -2) + 9t = 4t + -7 (6 + -2t) + 9t = 4t + -7 Combine like terms: -2t + 9t = 7t 6 + 7t = 4t + -7 Reorder the terms: 6 + 7t = -7 + 4t Solving 6 + 7t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + 7t + -4t = -7 + 4t + -4t Combine like terms: 7t + -4t = 3t 6 + 3t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + 3t = -7 + 0 6 + 3t = -7 Add '-6' to each side of the equation. 6 + -6 + 3t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = -7 + -6 3t = -7 + -6 Combine like terms: -7 + -6 = -13 3t = -13 Divide each side by '3'. t = -4.333333333 Simplifying t = -4.333333333
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