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Simplifying 4t + -1(7t + -21) = 3(7 + t) Reorder the terms: 4t + -1(-21 + 7t) = 3(7 + t) 4t + (-21 * -1 + 7t * -1) = 3(7 + t) 4t + (21 + -7t) = 3(7 + t) Reorder the terms: 21 + 4t + -7t = 3(7 + t) Combine like terms: 4t + -7t = -3t 21 + -3t = 3(7 + t) 21 + -3t = (7 * 3 + t * 3) 21 + -3t = (21 + 3t) Add '-21' to each side of the equation. 21 + -21 + -3t = 21 + -21 + 3t Combine like terms: 21 + -21 = 0 0 + -3t = 21 + -21 + 3t -3t = 21 + -21 + 3t Combine like terms: 21 + -21 = 0 -3t = 0 + 3t -3t = 3t Solving -3t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -3t + -3t = 3t + -3t Combine like terms: -3t + -3t = -6t -6t = 3t + -3t Combine like terms: 3t + -3t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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