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Simplifying -2(t + -7) + -1(t + -5) = 5 Reorder the terms: -2(-7 + t) + -1(t + -5) = 5 (-7 * -2 + t * -2) + -1(t + -5) = 5 (14 + -2t) + -1(t + -5) = 5 Reorder the terms: 14 + -2t + -1(-5 + t) = 5 14 + -2t + (-5 * -1 + t * -1) = 5 14 + -2t + (5 + -1t) = 5 Reorder the terms: 14 + 5 + -2t + -1t = 5 Combine like terms: 14 + 5 = 19 19 + -2t + -1t = 5 Combine like terms: -2t + -1t = -3t 19 + -3t = 5 Solving 19 + -3t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3t = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -3t = 5 + -19 -3t = 5 + -19 Combine like terms: 5 + -19 = -14 -3t = -14 Divide each side by '-3'. t = 4.666666667 Simplifying t = 4.666666667
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