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Simplifying 4t + 14 = 7t + -7 Reorder the terms: 14 + 4t = 7t + -7 Reorder the terms: 14 + 4t = -7 + 7t Solving 14 + 4t = -7 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 14 + 4t + -7t = -7 + 7t + -7t Combine like terms: 4t + -7t = -3t 14 + -3t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 14 + -3t = -7 + 0 14 + -3t = -7 Add '-14' to each side of the equation. 14 + -14 + -3t = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3t = -7 + -14 -3t = -7 + -14 Combine like terms: -7 + -14 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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