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Simplifying -4t + 1 = 3t + 1 + -7c Reorder the terms: 1 + -4t = 3t + 1 + -7c Reorder the terms: 1 + -4t = 1 + -7c + 3t Add '-1' to each side of the equation. 1 + -1 + -4t = 1 + -7c + -1 + 3t Combine like terms: 1 + -1 = 0 0 + -4t = 1 + -7c + -1 + 3t -4t = 1 + -7c + -1 + 3t Reorder the terms: -4t = 1 + -1 + -7c + 3t Combine like terms: 1 + -1 = 0 -4t = 0 + -7c + 3t -4t = -7c + 3t Solving -4t = -7c + 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. -4t + -3t = -7c + 3t + -3t Combine like terms: -4t + -3t = -7t -7t = -7c + 3t + -3t Combine like terms: 3t + -3t = 0 -7t = -7c + 0 -7t = -7c Divide each side by '-7'. t = c Simplifying t = c
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