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Simplifying 2(t + 33) + -10 = -42 Reorder the terms: 2(33 + t) + -10 = -42 (33 * 2 + t * 2) + -10 = -42 (66 + 2t) + -10 = -42 Reorder the terms: 66 + -10 + 2t = -42 Combine like terms: 66 + -10 = 56 56 + 2t = -42 Solving 56 + 2t = -42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 2t = -42 + -56 Combine like terms: 56 + -56 = 0 0 + 2t = -42 + -56 2t = -42 + -56 Combine like terms: -42 + -56 = -98 2t = -98 Divide each side by '2'. t = -49 Simplifying t = -49
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