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Simplifying -6(t + -2) + -1(t + 5) = 11 Reorder the terms: -6(-2 + t) + -1(t + 5) = 11 (-2 * -6 + t * -6) + -1(t + 5) = 11 (12 + -6t) + -1(t + 5) = 11 Reorder the terms: 12 + -6t + -1(5 + t) = 11 12 + -6t + (5 * -1 + t * -1) = 11 12 + -6t + (-5 + -1t) = 11 Reorder the terms: 12 + -5 + -6t + -1t = 11 Combine like terms: 12 + -5 = 7 7 + -6t + -1t = 11 Combine like terms: -6t + -1t = -7t 7 + -7t = 11 Solving 7 + -7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7t = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -7t = 11 + -7 -7t = 11 + -7 Combine like terms: 11 + -7 = 4 -7t = 4 Divide each side by '-7'. t = -0.5714285714 Simplifying t = -0.5714285714
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