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Simplifying -9(t + -5) + -1(t + 3) = 4 Reorder the terms: -9(-5 + t) + -1(t + 3) = 4 (-5 * -9 + t * -9) + -1(t + 3) = 4 (45 + -9t) + -1(t + 3) = 4 Reorder the terms: 45 + -9t + -1(3 + t) = 4 45 + -9t + (3 * -1 + t * -1) = 4 45 + -9t + (-3 + -1t) = 4 Reorder the terms: 45 + -3 + -9t + -1t = 4 Combine like terms: 45 + -3 = 42 42 + -9t + -1t = 4 Combine like terms: -9t + -1t = -10t 42 + -10t = 4 Solving 42 + -10t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -10t = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -10t = 4 + -42 -10t = 4 + -42 Combine like terms: 4 + -42 = -38 -10t = -38 Divide each side by '-10'. t = 3.8 Simplifying t = 3.8
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