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Simplifying -7(t + -3) + 4t = 3(7 + 2t) Reorder the terms: -7(-3 + t) + 4t = 3(7 + 2t) (-3 * -7 + t * -7) + 4t = 3(7 + 2t) (21 + -7t) + 4t = 3(7 + 2t) Combine like terms: -7t + 4t = -3t 21 + -3t = 3(7 + 2t) 21 + -3t = (7 * 3 + 2t * 3) 21 + -3t = (21 + 6t) Add '-21' to each side of the equation. 21 + -21 + -3t = 21 + -21 + 6t Combine like terms: 21 + -21 = 0 0 + -3t = 21 + -21 + 6t -3t = 21 + -21 + 6t Combine like terms: 21 + -21 = 0 -3t = 0 + 6t -3t = 6t Solving -3t = 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. -3t + -6t = 6t + -6t Combine like terms: -3t + -6t = -9t -9t = 6t + -6t Combine like terms: 6t + -6t = 0 -9t = 0 Divide each side by '-9'. t = 0 Simplifying t = 0
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