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Simplifying -3(t + -1) + 5 = 4t + -2 Reorder the terms: -3(-1 + t) + 5 = 4t + -2 (-1 * -3 + t * -3) + 5 = 4t + -2 (3 + -3t) + 5 = 4t + -2 Reorder the terms: 3 + 5 + -3t = 4t + -2 Combine like terms: 3 + 5 = 8 8 + -3t = 4t + -2 Reorder the terms: 8 + -3t = -2 + 4t Solving 8 + -3t = -2 + 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. 8 + -3t + -4t = -2 + 4t + -4t Combine like terms: -3t + -4t = -7t 8 + -7t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -7t = -2 + 0 8 + -7t = -2 Add '-8' to each side of the equation. 8 + -8 + -7t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = -2 + -8 -7t = -2 + -8 Combine like terms: -2 + -8 = -10 -7t = -10 Divide each side by '-7'. t = 1.428571429 Simplifying t = 1.428571429
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