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Simplifying -3(t + -3) + 7t = 8t + -2 Reorder the terms: -3(-3 + t) + 7t = 8t + -2 (-3 * -3 + t * -3) + 7t = 8t + -2 (9 + -3t) + 7t = 8t + -2 Combine like terms: -3t + 7t = 4t 9 + 4t = 8t + -2 Reorder the terms: 9 + 4t = -2 + 8t Solving 9 + 4t = -2 + 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. 9 + 4t + -8t = -2 + 8t + -8t Combine like terms: 4t + -8t = -4t 9 + -4t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 9 + -4t = -2 + 0 9 + -4t = -2 Add '-9' to each side of the equation. 9 + -9 + -4t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -4t = -2 + -9 -4t = -2 + -9 Combine like terms: -2 + -9 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75
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