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Simplifying 1 = 6(7t + -2) + -1(6 + t) Reorder the terms: 1 = 6(-2 + 7t) + -1(6 + t) 1 = (-2 * 6 + 7t * 6) + -1(6 + t) 1 = (-12 + 42t) + -1(6 + t) 1 = -12 + 42t + (6 * -1 + t * -1) 1 = -12 + 42t + (-6 + -1t) Reorder the terms: 1 = -12 + -6 + 42t + -1t Combine like terms: -12 + -6 = -18 1 = -18 + 42t + -1t Combine like terms: 42t + -1t = 41t 1 = -18 + 41t Solving 1 = -18 + 41t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-41t' to each side of the equation. 1 + -41t = -18 + 41t + -41t Combine like terms: 41t + -41t = 0 1 + -41t = -18 + 0 1 + -41t = -18 Add '-1' to each side of the equation. 1 + -1 + -41t = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -41t = -18 + -1 -41t = -18 + -1 Combine like terms: -18 + -1 = -19 -41t = -19 Divide each side by '-41'. t = 0.4634146341 Simplifying t = 0.4634146341
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