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Simplifying -5(t + -5) + -1(t + 2) = 10 Reorder the terms: -5(-5 + t) + -1(t + 2) = 10 (-5 * -5 + t * -5) + -1(t + 2) = 10 (25 + -5t) + -1(t + 2) = 10 Reorder the terms: 25 + -5t + -1(2 + t) = 10 25 + -5t + (2 * -1 + t * -1) = 10 25 + -5t + (-2 + -1t) = 10 Reorder the terms: 25 + -2 + -5t + -1t = 10 Combine like terms: 25 + -2 = 23 23 + -5t + -1t = 10 Combine like terms: -5t + -1t = -6t 23 + -6t = 10 Solving 23 + -6t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6t = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -6t = 10 + -23 -6t = 10 + -23 Combine like terms: 10 + -23 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667
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