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Simplifying 18 + 23 = t + -42 Combine like terms: 18 + 23 = 41 41 = t + -42 Reorder the terms: 41 = -42 + t Solving 41 = -42 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 41 + -1t = -42 + t + -1t Combine like terms: t + -1t = 0 41 + -1t = -42 + 0 41 + -1t = -42 Add '-41' to each side of the equation. 41 + -41 + -1t = -42 + -41 Combine like terms: 41 + -41 = 0 0 + -1t = -42 + -41 -1t = -42 + -41 Combine like terms: -42 + -41 = -83 -1t = -83 Divide each side by '-1'. t = 83 Simplifying t = 83
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