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Simplifying 8 + -2(4t + -3) = 46 Reorder the terms: 8 + -2(-3 + 4t) = 46 8 + (-3 * -2 + 4t * -2) = 46 8 + (6 + -8t) = 46 Combine like terms: 8 + 6 = 14 14 + -8t = 46 Solving 14 + -8t = 46 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8t = 46 + -14 Combine like terms: 14 + -14 = 0 0 + -8t = 46 + -14 -8t = 46 + -14 Combine like terms: 46 + -14 = 32 -8t = 32 Divide each side by '-8'. t = -4 Simplifying t = -4
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