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Simplifying -2(4t + -4) + 6t = 5t + -4 Reorder the terms: -2(-4 + 4t) + 6t = 5t + -4 (-4 * -2 + 4t * -2) + 6t = 5t + -4 (8 + -8t) + 6t = 5t + -4 Combine like terms: -8t + 6t = -2t 8 + -2t = 5t + -4 Reorder the terms: 8 + -2t = -4 + 5t Solving 8 + -2t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + -2t + -5t = -4 + 5t + -5t Combine like terms: -2t + -5t = -7t 8 + -7t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -7t = -4 + 0 8 + -7t = -4 Add '-8' to each side of the equation. 8 + -8 + -7t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = -4 + -8 -7t = -4 + -8 Combine like terms: -4 + -8 = -12 -7t = -12 Divide each side by '-7'. t = 1.714285714 Simplifying t = 1.714285714
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