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Simplifying -5(t + -4) + -1(t + 3) = 4 Reorder the terms: -5(-4 + t) + -1(t + 3) = 4 (-4 * -5 + t * -5) + -1(t + 3) = 4 (20 + -5t) + -1(t + 3) = 4 Reorder the terms: 20 + -5t + -1(3 + t) = 4 20 + -5t + (3 * -1 + t * -1) = 4 20 + -5t + (-3 + -1t) = 4 Reorder the terms: 20 + -3 + -5t + -1t = 4 Combine like terms: 20 + -3 = 17 17 + -5t + -1t = 4 Combine like terms: -5t + -1t = -6t 17 + -6t = 4 Solving 17 + -6t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6t = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -6t = 4 + -17 -6t = 4 + -17 Combine like terms: 4 + -17 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667
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