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Simplifying -2(t + -23) + -12 = 48 Reorder the terms: -2(-23 + t) + -12 = 48 (-23 * -2 + t * -2) + -12 = 48 (46 + -2t) + -12 = 48 Reorder the terms: 46 + -12 + -2t = 48 Combine like terms: 46 + -12 = 34 34 + -2t = 48 Solving 34 + -2t = 48 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -2t = 48 + -34 Combine like terms: 34 + -34 = 0 0 + -2t = 48 + -34 -2t = 48 + -34 Combine like terms: 48 + -34 = 14 -2t = 14 Divide each side by '-2'. t = -7 Simplifying t = -7
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