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Simplifying (2 + -2t) * 7 + -10 + 7t = 0 Reorder the terms for easier multiplication: 7(2 + -2t) + -10 + 7t = 0 (2 * 7 + -2t * 7) + -10 + 7t = 0 (14 + -14t) + -10 + 7t = 0 Reorder the terms: 14 + -10 + -14t + 7t = 0 Combine like terms: 14 + -10 = 4 4 + -14t + 7t = 0 Combine like terms: -14t + 7t = -7t 4 + -7t = 0 Solving 4 + -7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = 0 + -4 -7t = 0 + -4 Combine like terms: 0 + -4 = -4 -7t = -4 Divide each side by '-7'. t = 0.5714285714 Simplifying t = 0.5714285714
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