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Simplifying 9(t + -4) + 2t + 7 + -1t = 0 Reorder the terms: 9(-4 + t) + 2t + 7 + -1t = 0 (-4 * 9 + t * 9) + 2t + 7 + -1t = 0 (-36 + 9t) + 2t + 7 + -1t = 0 Reorder the terms: -36 + 7 + 9t + 2t + -1t = 0 Combine like terms: -36 + 7 = -29 -29 + 9t + 2t + -1t = 0 Combine like terms: 9t + 2t = 11t -29 + 11t + -1t = 0 Combine like terms: 11t + -1t = 10t -29 + 10t = 0 Solving -29 + 10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 10t = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 10t = 0 + 29 10t = 0 + 29 Combine like terms: 0 + 29 = 29 10t = 29 Divide each side by '10'. t = 2.9 Simplifying t = 2.9
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