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Simplifying 7t + -1(6t + -2) = 0 Reorder the terms: 7t + -1(-2 + 6t) = 0 7t + (-2 * -1 + 6t * -1) = 0 7t + (2 + -6t) = 0 Reorder the terms: 2 + 7t + -6t = 0 Combine like terms: 7t + -6t = 1t 2 + 1t = 0 Solving 2 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 0 + -2 1t = 0 + -2 Combine like terms: 0 + -2 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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