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Simplifying -2(t + -4) + 4t = 7t + -8 Reorder the terms: -2(-4 + t) + 4t = 7t + -8 (-4 * -2 + t * -2) + 4t = 7t + -8 (8 + -2t) + 4t = 7t + -8 Combine like terms: -2t + 4t = 2t 8 + 2t = 7t + -8 Reorder the terms: 8 + 2t = -8 + 7t Solving 8 + 2t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + 2t + -7t = -8 + 7t + -7t Combine like terms: 2t + -7t = -5t 8 + -5t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -5t = -8 + 0 8 + -5t = -8 Add '-8' to each side of the equation. 8 + -8 + -5t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = -8 + -8 -5t = -8 + -8 Combine like terms: -8 + -8 = -16 -5t = -16 Divide each side by '-5'. t = 3.2 Simplifying t = 3.2
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