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Simplifying -6(t + -8) + -1(t + 5) = 5 Reorder the terms: -6(-8 + t) + -1(t + 5) = 5 (-8 * -6 + t * -6) + -1(t + 5) = 5 (48 + -6t) + -1(t + 5) = 5 Reorder the terms: 48 + -6t + -1(5 + t) = 5 48 + -6t + (5 * -1 + t * -1) = 5 48 + -6t + (-5 + -1t) = 5 Reorder the terms: 48 + -5 + -6t + -1t = 5 Combine like terms: 48 + -5 = 43 43 + -6t + -1t = 5 Combine like terms: -6t + -1t = -7t 43 + -7t = 5 Solving 43 + -7t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -7t = 5 + -43 Combine like terms: 43 + -43 = 0 0 + -7t = 5 + -43 -7t = 5 + -43 Combine like terms: 5 + -43 = -38 -7t = -38 Divide each side by '-7'. t = 5.428571429 Simplifying t = 5.428571429
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