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Simplifying 6 + -1(3t + 4) + -1t = 0 Reorder the terms: 6 + -1(4 + 3t) + -1t = 0 6 + (4 * -1 + 3t * -1) + -1t = 0 6 + (-4 + -3t) + -1t = 0 Combine like terms: 6 + -4 = 2 2 + -3t + -1t = 0 Combine like terms: -3t + -1t = -4t 2 + -4t = 0 Solving 2 + -4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4t = 0 + -2 -4t = 0 + -2 Combine like terms: 0 + -2 = -2 -4t = -2 Divide each side by '-4'. t = 0.5 Simplifying t = 0.5
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