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Simplifying -5(t + -6) + -1(t + 4) = 4 Reorder the terms: -5(-6 + t) + -1(t + 4) = 4 (-6 * -5 + t * -5) + -1(t + 4) = 4 (30 + -5t) + -1(t + 4) = 4 Reorder the terms: 30 + -5t + -1(4 + t) = 4 30 + -5t + (4 * -1 + t * -1) = 4 30 + -5t + (-4 + -1t) = 4 Reorder the terms: 30 + -4 + -5t + -1t = 4 Combine like terms: 30 + -4 = 26 26 + -5t + -1t = 4 Combine like terms: -5t + -1t = -6t 26 + -6t = 4 Solving 26 + -6t = 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 + -6t = 4 + -26 Combine like terms: 26 + -26 = 0 0 + -6t = 4 + -26 -6t = 4 + -26 Combine like terms: 4 + -26 = -22 -6t = -22 Divide each side by '-6'. t = 3.666666667 Simplifying t = 3.666666667
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