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Simplifying t + -2 = 9(t + -8) Reorder the terms: -2 + t = 9(t + -8) Reorder the terms: -2 + t = 9(-8 + t) -2 + t = (-8 * 9 + t * 9) -2 + t = (-72 + 9t) Solving -2 + t = -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. -2 + t + -9t = -72 + 9t + -9t Combine like terms: t + -9t = -8t -2 + -8t = -72 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + -8t = -72 + 0 -2 + -8t = -72 Add '2' to each side of the equation. -2 + 2 + -8t = -72 + 2 Combine like terms: -2 + 2 = 0 0 + -8t = -72 + 2 -8t = -72 + 2 Combine like terms: -72 + 2 = -70 -8t = -70 Divide each side by '-8'. t = 8.75 Simplifying t = 8.75
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