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Simplifying -5(t + -5) + -1(t + 8) = 7 Reorder the terms: -5(-5 + t) + -1(t + 8) = 7 (-5 * -5 + t * -5) + -1(t + 8) = 7 (25 + -5t) + -1(t + 8) = 7 Reorder the terms: 25 + -5t + -1(8 + t) = 7 25 + -5t + (8 * -1 + t * -1) = 7 25 + -5t + (-8 + -1t) = 7 Reorder the terms: 25 + -8 + -5t + -1t = 7 Combine like terms: 25 + -8 = 17 17 + -5t + -1t = 7 Combine like terms: -5t + -1t = -6t 17 + -6t = 7 Solving 17 + -6t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6t = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -6t = 7 + -17 -6t = 7 + -17 Combine like terms: 7 + -17 = -10 -6t = -10 Divide each side by '-6'. t = 1.666666667 Simplifying t = 1.666666667
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