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Simplifying (8t + 30) + (-16 + -2t) = -22 Reorder the terms: (30 + 8t) + (-16 + -2t) = -22 Remove parenthesis around (30 + 8t) 30 + 8t + (-16 + -2t) = -22 Remove parenthesis around (-16 + -2t) 30 + 8t + -16 + -2t = -22 Reorder the terms: 30 + -16 + 8t + -2t = -22 Combine like terms: 30 + -16 = 14 14 + 8t + -2t = -22 Combine like terms: 8t + -2t = 6t 14 + 6t = -22 Solving 14 + 6t = -22 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6t = -22 + -14 Combine like terms: 14 + -14 = 0 0 + 6t = -22 + -14 6t = -22 + -14 Combine like terms: -22 + -14 = -36 6t = -36 Divide each side by '6'. t = -6 Simplifying t = -6
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