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Simplifying t + -6 = 3(7 + -2t) Reorder the terms: -6 + t = 3(7 + -2t) -6 + t = (7 * 3 + -2t * 3) -6 + t = (21 + -6t) Solving -6 + t = 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. -6 + t + 6t = 21 + -6t + 6t Combine like terms: t + 6t = 7t -6 + 7t = 21 + -6t + 6t Combine like terms: -6t + 6t = 0 -6 + 7t = 21 + 0 -6 + 7t = 21 Add '6' to each side of the equation. -6 + 6 + 7t = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 21 + 6 7t = 21 + 6 Combine like terms: 21 + 6 = 27 7t = 27 Divide each side by '7'. t = 3.857142857 Simplifying t = 3.857142857
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