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Simplifying -4t + 1 = 3t + 1 + 7t Reorder the terms: 1 + -4t = 3t + 1 + 7t Reorder the terms: 1 + -4t = 1 + 3t + 7t Combine like terms: 3t + 7t = 10t 1 + -4t = 1 + 10t Add '-1' to each side of the equation. 1 + -1 + -4t = 1 + -1 + 10t Combine like terms: 1 + -1 = 0 0 + -4t = 1 + -1 + 10t -4t = 1 + -1 + 10t Combine like terms: 1 + -1 = 0 -4t = 0 + 10t -4t = 10t Solving -4t = 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -4t + -10t = 10t + -10t Combine like terms: -4t + -10t = -14t -14t = 10t + -10t Combine like terms: 10t + -10t = 0 -14t = 0 Divide each side by '-14'. t = 0 Simplifying t = 0
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