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Simplifying -5(t + -9) + -1(t + 6) = 7 Reorder the terms: -5(-9 + t) + -1(t + 6) = 7 (-9 * -5 + t * -5) + -1(t + 6) = 7 (45 + -5t) + -1(t + 6) = 7 Reorder the terms: 45 + -5t + -1(6 + t) = 7 45 + -5t + (6 * -1 + t * -1) = 7 45 + -5t + (-6 + -1t) = 7 Reorder the terms: 45 + -6 + -5t + -1t = 7 Combine like terms: 45 + -6 = 39 39 + -5t + -1t = 7 Combine like terms: -5t + -1t = -6t 39 + -6t = 7 Solving 39 + -6t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -6t = 7 + -39 Combine like terms: 39 + -39 = 0 0 + -6t = 7 + -39 -6t = 7 + -39 Combine like terms: 7 + -39 = -32 -6t = -32 Divide each side by '-6'. t = 5.333333333 Simplifying t = 5.333333333
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