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Simplifying -4t + 1 = 3t + 1 + -7 Reorder the terms: 1 + -4t = 3t + 1 + -7 Reorder the terms: 1 + -4t = 1 + -7 + 3t Combine like terms: 1 + -7 = -6 1 + -4t = -6 + 3t Solving 1 + -4t = -6 + 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 = -6 + 3t + -3t Combine like terms: -4t + -3t = -7t 1 + -7t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -7t = -6 + 0 1 + -7t = -6 Add '-1' to each side of the equation. 1 + -1 + -7t = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -7t = -6 + -1 -7t = -6 + -1 Combine like terms: -6 + -1 = -7 -7t = -7 Divide each side by '-7'. t = 1 Simplifying t = 1
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