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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 = -31 -31 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t -31 + -6t = 9 Solving -31 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6t = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -6t = 9 + 31 -6t = 9 + 31 Combine like terms: 9 + 31 = 40 -6t = 40 Divide each side by '-6'. t = -6.666666667 Simplifying t = -6.666666667
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