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Simplifying -6(t + -7) + -1(t + 8) = 8 Reorder the terms: -6(-7 + t) + -1(t + 8) = 8 (-7 * -6 + t * -6) + -1(t + 8) = 8 (42 + -6t) + -1(t + 8) = 8 Reorder the terms: 42 + -6t + -1(8 + t) = 8 42 + -6t + (8 * -1 + t * -1) = 8 42 + -6t + (-8 + -1t) = 8 Reorder the terms: 42 + -8 + -6t + -1t = 8 Combine like terms: 42 + -8 = 34 34 + -6t + -1t = 8 Combine like terms: -6t + -1t = -7t 34 + -7t = 8 Solving 34 + -7t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -7t = 8 + -34 Combine like terms: 34 + -34 = 0 0 + -7t = 8 + -34 -7t = 8 + -34 Combine like terms: 8 + -34 = -26 -7t = -26 Divide each side by '-7'. t = 3.714285714 Simplifying t = 3.714285714
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