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Simplifying 7 + -2(4t + -18) = -13 + -9(t + -5) Reorder the terms: 7 + -2(-18 + 4t) = -13 + -9(t + -5) 7 + (-18 * -2 + 4t * -2) = -13 + -9(t + -5) 7 + (36 + -8t) = -13 + -9(t + -5) Combine like terms: 7 + 36 = 43 43 + -8t = -13 + -9(t + -5) Reorder the terms: 43 + -8t = -13 + -9(-5 + t) 43 + -8t = -13 + (-5 * -9 + t * -9) 43 + -8t = -13 + (45 + -9t) Combine like terms: -13 + 45 = 32 43 + -8t = 32 + -9t Solving 43 + -8t = 32 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 43 + -8t + 9t = 32 + -9t + 9t Combine like terms: -8t + 9t = 1t 43 + 1t = 32 + -9t + 9t Combine like terms: -9t + 9t = 0 43 + 1t = 32 + 0 43 + 1t = 32 Add '-43' to each side of the equation. 43 + -43 + 1t = 32 + -43 Combine like terms: 43 + -43 = 0 0 + 1t = 32 + -43 1t = 32 + -43 Combine like terms: 32 + -43 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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