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Simplifying 10t + 7 = 4t + 55 Reorder the terms: 7 + 10t = 4t + 55 Reorder the terms: 7 + 10t = 55 + 4t Solving 7 + 10t = 55 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 7 + 10t + -4t = 55 + 4t + -4t Combine like terms: 10t + -4t = 6t 7 + 6t = 55 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + 6t = 55 + 0 7 + 6t = 55 Add '-7' to each side of the equation. 7 + -7 + 6t = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6t = 55 + -7 6t = 55 + -7 Combine like terms: 55 + -7 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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