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Simplifying (8t + 30) + (-2t + -160) = -22 Reorder the terms: (30 + 8t) + (-2t + -160) = -22 Remove parenthesis around (30 + 8t) 30 + 8t + (-2t + -160) = -22 Reorder the terms: 30 + 8t + (-160 + -2t) = -22 Remove parenthesis around (-160 + -2t) 30 + 8t + -160 + -2t = -22 Reorder the terms: 30 + -160 + 8t + -2t = -22 Combine like terms: 30 + -160 = -130 -130 + 8t + -2t = -22 Combine like terms: 8t + -2t = 6t -130 + 6t = -22 Solving -130 + 6t = -22 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 6t = -22 + 130 Combine like terms: -130 + 130 = 0 0 + 6t = -22 + 130 6t = -22 + 130 Combine like terms: -22 + 130 = 108 6t = 108 Divide each side by '6'. t = 18 Simplifying t = 18
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