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Simplifying (t + -3) * 77 = 6t + 21 Reorder the terms: (-3 + t) * 77 = 6t + 21 Reorder the terms for easier multiplication: 77(-3 + t) = 6t + 21 (-3 * 77 + t * 77) = 6t + 21 (-231 + 77t) = 6t + 21 Reorder the terms: -231 + 77t = 21 + 6t Solving -231 + 77t = 21 + 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. -231 + 77t + -6t = 21 + 6t + -6t Combine like terms: 77t + -6t = 71t -231 + 71t = 21 + 6t + -6t Combine like terms: 6t + -6t = 0 -231 + 71t = 21 + 0 -231 + 71t = 21 Add '231' to each side of the equation. -231 + 231 + 71t = 21 + 231 Combine like terms: -231 + 231 = 0 0 + 71t = 21 + 231 71t = 21 + 231 Combine like terms: 21 + 231 = 252 71t = 252 Divide each side by '71'. t = 3.549295775 Simplifying t = 3.549295775
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