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Simplifying 12t + (7 + -3t) = -8t + -30 Remove parenthesis around (7 + -3t) 12t + 7 + -3t = -8t + -30 Reorder the terms: 7 + 12t + -3t = -8t + -30 Combine like terms: 12t + -3t = 9t 7 + 9t = -8t + -30 Reorder the terms: 7 + 9t = -30 + -8t Solving 7 + 9t = -30 + -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. 7 + 9t + 8t = -30 + -8t + 8t Combine like terms: 9t + 8t = 17t 7 + 17t = -30 + -8t + 8t Combine like terms: -8t + 8t = 0 7 + 17t = -30 + 0 7 + 17t = -30 Add '-7' to each side of the equation. 7 + -7 + 17t = -30 + -7 Combine like terms: 7 + -7 = 0 0 + 17t = -30 + -7 17t = -30 + -7 Combine like terms: -30 + -7 = -37 17t = -37 Divide each side by '17'. t = -2.176470588 Simplifying t = -2.176470588
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