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Simplifying -3(t + -2) + 7t = 8t + -3 Reorder the terms: -3(-2 + t) + 7t = 8t + -3 (-2 * -3 + t * -3) + 7t = 8t + -3 (6 + -3t) + 7t = 8t + -3 Combine like terms: -3t + 7t = 4t 6 + 4t = 8t + -3 Reorder the terms: 6 + 4t = -3 + 8t Solving 6 + 4t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + 4t + -8t = -3 + 8t + -8t Combine like terms: 4t + -8t = -4t 6 + -4t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -4t = -3 + 0 6 + -4t = -3 Add '-6' to each side of the equation. 6 + -6 + -4t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = -3 + -6 -4t = -3 + -6 Combine like terms: -3 + -6 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25
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