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Simplifying (8t + 30) + (-2 + -16) = -22 Reorder the terms: (30 + 8t) + (-2 + -16) = -22 Remove parenthesis around (30 + 8t) 30 + 8t + (-2 + -16) = -22 Combine like terms: -2 + -16 = -18 30 + 8t + (-18) = -22 30 + 8t + -18 = -22 Reorder the terms: 30 + -18 + 8t = -22 Combine like terms: 30 + -18 = 12 12 + 8t = -22 Solving 12 + 8t = -22 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8t = -22 + -12 Combine like terms: 12 + -12 = 0 0 + 8t = -22 + -12 8t = -22 + -12 Combine like terms: -22 + -12 = -34 8t = -34 Divide each side by '8'. t = -4.25 Simplifying t = -4.25
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