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Simplifying -4(t + -5) + -1(t + 8) = 2 Reorder the terms: -4(-5 + t) + -1(t + 8) = 2 (-5 * -4 + t * -4) + -1(t + 8) = 2 (20 + -4t) + -1(t + 8) = 2 Reorder the terms: 20 + -4t + -1(8 + t) = 2 20 + -4t + (8 * -1 + t * -1) = 2 20 + -4t + (-8 + -1t) = 2 Reorder the terms: 20 + -8 + -4t + -1t = 2 Combine like terms: 20 + -8 = 12 12 + -4t + -1t = 2 Combine like terms: -4t + -1t = -5t 12 + -5t = 2 Solving 12 + -5t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5t = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = 2 + -12 -5t = 2 + -12 Combine like terms: 2 + -12 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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