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Simplifying -3(t + 7) + 2 = 6t + -2 + 2t Reorder the terms: -3(7 + t) + 2 = 6t + -2 + 2t (7 * -3 + t * -3) + 2 = 6t + -2 + 2t (-21 + -3t) + 2 = 6t + -2 + 2t Reorder the terms: -21 + 2 + -3t = 6t + -2 + 2t Combine like terms: -21 + 2 = -19 -19 + -3t = 6t + -2 + 2t Reorder the terms: -19 + -3t = -2 + 6t + 2t Combine like terms: 6t + 2t = 8t -19 + -3t = -2 + 8t Solving -19 + -3t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -19 + -3t + -8t = -2 + 8t + -8t Combine like terms: -3t + -8t = -11t -19 + -11t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 -19 + -11t = -2 + 0 -19 + -11t = -2 Add '19' to each side of the equation. -19 + 19 + -11t = -2 + 19 Combine like terms: -19 + 19 = 0 0 + -11t = -2 + 19 -11t = -2 + 19 Combine like terms: -2 + 19 = 17 -11t = 17 Divide each side by '-11'. t = -1.545454545 Simplifying t = -1.545454545
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