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Simplifying -4(t + -5) + -1(t + 3) = 8 Reorder the terms: -4(-5 + t) + -1(t + 3) = 8 (-5 * -4 + t * -4) + -1(t + 3) = 8 (20 + -4t) + -1(t + 3) = 8 Reorder the terms: 20 + -4t + -1(3 + t) = 8 20 + -4t + (3 * -1 + t * -1) = 8 20 + -4t + (-3 + -1t) = 8 Reorder the terms: 20 + -3 + -4t + -1t = 8 Combine like terms: 20 + -3 = 17 17 + -4t + -1t = 8 Combine like terms: -4t + -1t = -5t 17 + -5t = 8 Solving 17 + -5t = 8 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 + -5t = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -5t = 8 + -17 -5t = 8 + -17 Combine like terms: 8 + -17 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8
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