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Simplifying 9 + 9(t + -8) = 7(t + 2) + 9 Reorder the terms: 9 + 9(-8 + t) = 7(t + 2) + 9 9 + (-8 * 9 + t * 9) = 7(t + 2) + 9 9 + (-72 + 9t) = 7(t + 2) + 9 Combine like terms: 9 + -72 = -63 -63 + 9t = 7(t + 2) + 9 Reorder the terms: -63 + 9t = 7(2 + t) + 9 -63 + 9t = (2 * 7 + t * 7) + 9 -63 + 9t = (14 + 7t) + 9 Reorder the terms: -63 + 9t = 14 + 9 + 7t Combine like terms: 14 + 9 = 23 -63 + 9t = 23 + 7t Solving -63 + 9t = 23 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -63 + 9t + -7t = 23 + 7t + -7t Combine like terms: 9t + -7t = 2t -63 + 2t = 23 + 7t + -7t Combine like terms: 7t + -7t = 0 -63 + 2t = 23 + 0 -63 + 2t = 23 Add '63' to each side of the equation. -63 + 63 + 2t = 23 + 63 Combine like terms: -63 + 63 = 0 0 + 2t = 23 + 63 2t = 23 + 63 Combine like terms: 23 + 63 = 86 2t = 86 Divide each side by '2'. t = 43 Simplifying t = 43
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