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Simplifying -4(t + -2) + -1(t + 4) = 3 Reorder the terms: -4(-2 + t) + -1(t + 4) = 3 (-2 * -4 + t * -4) + -1(t + 4) = 3 (8 + -4t) + -1(t + 4) = 3 Reorder the terms: 8 + -4t + -1(4 + t) = 3 8 + -4t + (4 * -1 + t * -1) = 3 8 + -4t + (-4 + -1t) = 3 Reorder the terms: 8 + -4 + -4t + -1t = 3 Combine like terms: 8 + -4 = 4 4 + -4t + -1t = 3 Combine like terms: -4t + -1t = -5t 4 + -5t = 3 Solving 4 + -5t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5t = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = 3 + -4 -5t = 3 + -4 Combine like terms: 3 + -4 = -1 -5t = -1 Divide each side by '-5'. t = 0.2 Simplifying t = 0.2
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