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Simplifying -3t + 1 = t + 9 + -4 Reorder the terms: 1 + -3t = t + 9 + -4 Reorder the terms: 1 + -3t = 9 + -4 + t Combine like terms: 9 + -4 = 5 1 + -3t = 5 + t Solving 1 + -3t = 5 + 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. 1 + -3t + -1t = 5 + t + -1t Combine like terms: -3t + -1t = -4t 1 + -4t = 5 + t + -1t Combine like terms: t + -1t = 0 1 + -4t = 5 + 0 1 + -4t = 5 Add '-1' to each side of the equation. 1 + -1 + -4t = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 5 + -1 -4t = 5 + -1 Combine like terms: 5 + -1 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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