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Simplifying -4t + 1 = t + 9 + -4t Reorder the terms: 1 + -4t = t + 9 + -4t Reorder the terms: 1 + -4t = 9 + t + -4t Combine like terms: t + -4t = -3t 1 + -4t = 9 + -3t Solving 1 + -4t = 9 + -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. 1 + -4t + 3t = 9 + -3t + 3t Combine like terms: -4t + 3t = -1t 1 + -1t = 9 + -3t + 3t Combine like terms: -3t + 3t = 0 1 + -1t = 9 + 0 1 + -1t = 9 Add '-1' to each side of the equation. 1 + -1 + -1t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 9 + -1 -1t = 9 + -1 Combine like terms: 9 + -1 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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