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Simplifying -9(t + -5) + -1(t + 7) = 10 Reorder the terms: -9(-5 + t) + -1(t + 7) = 10 (-5 * -9 + t * -9) + -1(t + 7) = 10 (45 + -9t) + -1(t + 7) = 10 Reorder the terms: 45 + -9t + -1(7 + t) = 10 45 + -9t + (7 * -1 + t * -1) = 10 45 + -9t + (-7 + -1t) = 10 Reorder the terms: 45 + -7 + -9t + -1t = 10 Combine like terms: 45 + -7 = 38 38 + -9t + -1t = 10 Combine like terms: -9t + -1t = -10t 38 + -10t = 10 Solving 38 + -10t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -10t = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -10t = 10 + -38 -10t = 10 + -38 Combine like terms: 10 + -38 = -28 -10t = -28 Divide each side by '-10'. t = 2.8 Simplifying t = 2.8
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