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Simplifying 2t + -43 = 3t + -84 Reorder the terms: -43 + 2t = 3t + -84 Reorder the terms: -43 + 2t = -84 + 3t Solving -43 + 2t = -84 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -43 + 2t + -3t = -84 + 3t + -3t Combine like terms: 2t + -3t = -1t -43 + -1t = -84 + 3t + -3t Combine like terms: 3t + -3t = 0 -43 + -1t = -84 + 0 -43 + -1t = -84 Add '43' to each side of the equation. -43 + 43 + -1t = -84 + 43 Combine like terms: -43 + 43 = 0 0 + -1t = -84 + 43 -1t = -84 + 43 Combine like terms: -84 + 43 = -41 -1t = -41 Divide each side by '-1'. t = 41 Simplifying t = 41
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