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Simplifying -6(t + -5) + -1(t + 4) = 4 Reorder the terms: -6(-5 + t) + -1(t + 4) = 4 (-5 * -6 + t * -6) + -1(t + 4) = 4 (30 + -6t) + -1(t + 4) = 4 Reorder the terms: 30 + -6t + -1(4 + t) = 4 30 + -6t + (4 * -1 + t * -1) = 4 30 + -6t + (-4 + -1t) = 4 Reorder the terms: 30 + -4 + -6t + -1t = 4 Combine like terms: 30 + -4 = 26 26 + -6t + -1t = 4 Combine like terms: -6t + -1t = -7t 26 + -7t = 4 Solving 26 + -7t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7t = 4 + -26 Combine like terms: 26 + -26 = 0 0 + -7t = 4 + -26 -7t = 4 + -26 Combine like terms: 4 + -26 = -22 -7t = -22 Divide each side by '-7'. t = 3.142857143 Simplifying t = 3.142857143
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