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Simplifying 2(-1t + -4) + -1(-2 + 4t) = 0 Reorder the terms: 2(-4 + -1t) + -1(-2 + 4t) = 0 (-4 * 2 + -1t * 2) + -1(-2 + 4t) = 0 (-8 + -2t) + -1(-2 + 4t) = 0 -8 + -2t + (-2 * -1 + 4t * -1) = 0 -8 + -2t + (2 + -4t) = 0 Reorder the terms: -8 + 2 + -2t + -4t = 0 Combine like terms: -8 + 2 = -6 -6 + -2t + -4t = 0 Combine like terms: -2t + -4t = -6t -6 + -6t = 0 Solving -6 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6t = 0 + 6 -6t = 0 + 6 Combine like terms: 0 + 6 = 6 -6t = 6 Divide each side by '-6'. t = -1 Simplifying t = -1
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