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Simplifying -6(t + -6) + -1(t + 8) = 11 Reorder the terms: -6(-6 + t) + -1(t + 8) = 11 (-6 * -6 + t * -6) + -1(t + 8) = 11 (36 + -6t) + -1(t + 8) = 11 Reorder the terms: 36 + -6t + -1(8 + t) = 11 36 + -6t + (8 * -1 + t * -1) = 11 36 + -6t + (-8 + -1t) = 11 Reorder the terms: 36 + -8 + -6t + -1t = 11 Combine like terms: 36 + -8 = 28 28 + -6t + -1t = 11 Combine like terms: -6t + -1t = -7t 28 + -7t = 11 Solving 28 + -7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -7t = 11 + -28 Combine like terms: 28 + -28 = 0 0 + -7t = 11 + -28 -7t = 11 + -28 Combine like terms: 11 + -28 = -17 -7t = -17 Divide each side by '-7'. t = 2.428571429 Simplifying t = 2.428571429
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