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Simplifying 4t + -2(3t + -4) = 10 Reorder the terms: 4t + -2(-4 + 3t) = 10 4t + (-4 * -2 + 3t * -2) = 10 4t + (8 + -6t) = 10 Reorder the terms: 8 + 4t + -6t = 10 Combine like terms: 4t + -6t = -2t 8 + -2t = 10 Solving 8 + -2t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2t = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 10 + -8 -2t = 10 + -8 Combine like terms: 10 + -8 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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