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Simplifying -4(2t + -1t) + 5t = 4t + -2 Combine like terms: 2t + -1t = 1t -4(1t) + 5t = 4t + -2 Remove parenthesis around (1t) -4 * 1t + 5t = 4t + -2 Multiply -4 * 1 -4t + 5t = 4t + -2 Combine like terms: -4t + 5t = 1t 1t = 4t + -2 Reorder the terms: 1t = -2 + 4t Solving 1t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1t + -4t = -2 + 4t + -4t Combine like terms: 1t + -4t = -3t -3t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 -3t = -2 + 0 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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