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Simplifying -4(2t + -2) + 5t = 4t + -8 Reorder the terms: -4(-2 + 2t) + 5t = 4t + -8 (-2 * -4 + 2t * -4) + 5t = 4t + -8 (8 + -8t) + 5t = 4t + -8 Combine like terms: -8t + 5t = -3t 8 + -3t = 4t + -8 Reorder the terms: 8 + -3t = -8 + 4t Solving 8 + -3t = -8 + 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 = -8 + 4t + -4t Combine like terms: -3t + -4t = -7t 8 + -7t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -7t = -8 + 0 8 + -7t = -8 Add '-8' to each side of the equation. 8 + -8 + -7t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = -8 + -8 -7t = -8 + -8 Combine like terms: -8 + -8 = -16 -7t = -16 Divide each side by '-7'. t = 2.285714286 Simplifying t = 2.285714286
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