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Simplifying 1 + -1t + -2 = 9(t + -8) Reorder the terms: 1 + -2 + -1t = 9(t + -8) Combine like terms: 1 + -2 = -1 -1 + -1t = 9(t + -8) Reorder the terms: -1 + -1t = 9(-8 + t) -1 + -1t = (-8 * 9 + t * 9) -1 + -1t = (-72 + 9t) Solving -1 + -1t = -72 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -1 + -1t + -9t = -72 + 9t + -9t Combine like terms: -1t + -9t = -10t -1 + -10t = -72 + 9t + -9t Combine like terms: 9t + -9t = 0 -1 + -10t = -72 + 0 -1 + -10t = -72 Add '1' to each side of the equation. -1 + 1 + -10t = -72 + 1 Combine like terms: -1 + 1 = 0 0 + -10t = -72 + 1 -10t = -72 + 1 Combine like terms: -72 + 1 = -71 -10t = -71 Divide each side by '-10'. t = 7.1 Simplifying t = 7.1
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