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Simplifying -6(t + -2) + -1(t + 7) = 7 Reorder the terms: -6(-2 + t) + -1(t + 7) = 7 (-2 * -6 + t * -6) + -1(t + 7) = 7 (12 + -6t) + -1(t + 7) = 7 Reorder the terms: 12 + -6t + -1(7 + t) = 7 12 + -6t + (7 * -1 + t * -1) = 7 12 + -6t + (-7 + -1t) = 7 Reorder the terms: 12 + -7 + -6t + -1t = 7 Combine like terms: 12 + -7 = 5 5 + -6t + -1t = 7 Combine like terms: -6t + -1t = -7t 5 + -7t = 7 Solving 5 + -7t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7t = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -7t = 7 + -5 -7t = 7 + -5 Combine like terms: 7 + -5 = 2 -7t = 2 Divide each side by '-7'. t = -0.2857142857 Simplifying t = -0.2857142857
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