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Simplifying 4 + 5t + -43 = 28 + t + 1 Reorder the terms: 4 + -43 + 5t = 28 + t + 1 Combine like terms: 4 + -43 = -39 -39 + 5t = 28 + t + 1 Reorder the terms: -39 + 5t = 28 + 1 + t Combine like terms: 28 + 1 = 29 -39 + 5t = 29 + t Solving -39 + 5t = 29 + 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. -39 + 5t + -1t = 29 + t + -1t Combine like terms: 5t + -1t = 4t -39 + 4t = 29 + t + -1t Combine like terms: t + -1t = 0 -39 + 4t = 29 + 0 -39 + 4t = 29 Add '39' to each side of the equation. -39 + 39 + 4t = 29 + 39 Combine like terms: -39 + 39 = 0 0 + 4t = 29 + 39 4t = 29 + 39 Combine like terms: 29 + 39 = 68 4t = 68 Divide each side by '4'. t = 17 Simplifying t = 17
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