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Simplifying -5(t + -6) + -1(t + 1) = 9 Reorder the terms: -5(-6 + t) + -1(t + 1) = 9 (-6 * -5 + t * -5) + -1(t + 1) = 9 (30 + -5t) + -1(t + 1) = 9 Reorder the terms: 30 + -5t + -1(1 + t) = 9 30 + -5t + (1 * -1 + t * -1) = 9 30 + -5t + (-1 + -1t) = 9 Reorder the terms: 30 + -1 + -5t + -1t = 9 Combine like terms: 30 + -1 = 29 29 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 29 + -6t = 9 Solving 29 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6t = 9 + -29 Combine like terms: 29 + -29 = 0 0 + -6t = 9 + -29 -6t = 9 + -29 Combine like terms: 9 + -29 = -20 -6t = -20 Divide each side by '-6'. t = 3.333333333 Simplifying t = 3.333333333
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