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Simplifying t + 5 + 3t + -45 = t + 49 Reorder the terms: 5 + -45 + t + 3t = t + 49 Combine like terms: 5 + -45 = -40 -40 + t + 3t = t + 49 Combine like terms: t + 3t = 4t -40 + 4t = t + 49 Reorder the terms: -40 + 4t = 49 + t Solving -40 + 4t = 49 + 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. -40 + 4t + -1t = 49 + t + -1t Combine like terms: 4t + -1t = 3t -40 + 3t = 49 + t + -1t Combine like terms: t + -1t = 0 -40 + 3t = 49 + 0 -40 + 3t = 49 Add '40' to each side of the equation. -40 + 40 + 3t = 49 + 40 Combine like terms: -40 + 40 = 0 0 + 3t = 49 + 40 3t = 49 + 40 Combine like terms: 49 + 40 = 89 3t = 89 Divide each side by '3'. t = 29.66666667 Simplifying t = 29.66666667
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