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Simplifying -9(t + -4) + -1(t + 6) = 9 Reorder the terms: -9(-4 + t) + -1(t + 6) = 9 (-4 * -9 + t * -9) + -1(t + 6) = 9 (36 + -9t) + -1(t + 6) = 9 Reorder the terms: 36 + -9t + -1(6 + t) = 9 36 + -9t + (6 * -1 + t * -1) = 9 36 + -9t + (-6 + -1t) = 9 Reorder the terms: 36 + -6 + -9t + -1t = 9 Combine like terms: 36 + -6 = 30 30 + -9t + -1t = 9 Combine like terms: -9t + -1t = -10t 30 + -10t = 9 Solving 30 + -10t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -10t = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -10t = 9 + -30 -10t = 9 + -30 Combine like terms: 9 + -30 = -21 -10t = -21 Divide each side by '-10'. t = 2.1 Simplifying t = 2.1
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