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Simplifying 4t + 14 = 6t + 7 Reorder the terms: 14 + 4t = 6t + 7 Reorder the terms: 14 + 4t = 7 + 6t Solving 14 + 4t = 7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 14 + 4t + -6t = 7 + 6t + -6t Combine like terms: 4t + -6t = -2t 14 + -2t = 7 + 6t + -6t Combine like terms: 6t + -6t = 0 14 + -2t = 7 + 0 14 + -2t = 7 Add '-14' to each side of the equation. 14 + -14 + -2t = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 7 + -14 -2t = 7 + -14 Combine like terms: 7 + -14 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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