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Simplifying -5 + 7 = 6t + -5(t + -9) Combine like terms: -5 + 7 = 2 2 = 6t + -5(t + -9) Reorder the terms: 2 = 6t + -5(-9 + t) 2 = 6t + (-9 * -5 + t * -5) 2 = 6t + (45 + -5t) Reorder the terms: 2 = 45 + 6t + -5t Combine like terms: 6t + -5t = 1t 2 = 45 + 1t Solving 2 = 45 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 2 + -1t = 45 + 1t + -1t Combine like terms: 1t + -1t = 0 2 + -1t = 45 + 0 2 + -1t = 45 Add '-2' to each side of the equation. 2 + -2 + -1t = 45 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 45 + -2 -1t = 45 + -2 Combine like terms: 45 + -2 = 43 -1t = 43 Divide each side by '-1'. t = -43 Simplifying t = -43
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