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Simplifying 5t + -19 = -43 + 2t Reorder the terms: -19 + 5t = -43 + 2t Solving -19 + 5t = -43 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -19 + 5t + -2t = -43 + 2t + -2t Combine like terms: 5t + -2t = 3t -19 + 3t = -43 + 2t + -2t Combine like terms: 2t + -2t = 0 -19 + 3t = -43 + 0 -19 + 3t = -43 Add '19' to each side of the equation. -19 + 19 + 3t = -43 + 19 Combine like terms: -19 + 19 = 0 0 + 3t = -43 + 19 3t = -43 + 19 Combine like terms: -43 + 19 = -24 3t = -24 Divide each side by '3'. t = -8 Simplifying t = -8
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