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