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Simplifying -8(t + 9) + 9(t + 1) = -63 Reorder the terms: -8(9 + t) + 9(t + 1) = -63 (9 * -8 + t * -8) + 9(t + 1) = -63 (-72 + -8t) + 9(t + 1) = -63 Reorder the terms: -72 + -8t + 9(1 + t) = -63 -72 + -8t + (1 * 9 + t * 9) = -63 -72 + -8t + (9 + 9t) = -63 Reorder the terms: -72 + 9 + -8t + 9t = -63 Combine like terms: -72 + 9 = -63 -63 + -8t + 9t = -63 Combine like terms: -8t + 9t = 1t -63 + 1t = -63 Add '63' to each side of the equation. -63 + 63 + 1t = -63 + 63 Combine like terms: -63 + 63 = 0 0 + 1t = -63 + 63 1t = -63 + 63 Combine like terms: -63 + 63 = 0 1t = 0 Solving 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '1'. t = 0 Simplifying t = 0
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