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Simplifying 3t + 10 = 4t + 6 Reorder the terms: 10 + 3t = 4t + 6 Reorder the terms: 10 + 3t = 6 + 4t Solving 10 + 3t = 6 + 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. 10 + 3t + -4t = 6 + 4t + -4t Combine like terms: 3t + -4t = -1t 10 + -1t = 6 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -1t = 6 + 0 10 + -1t = 6 Add '-10' to each side of the equation. 10 + -10 + -1t = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 6 + -10 -1t = 6 + -10 Combine like terms: 6 + -10 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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