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Simplifying -7(t + -9) + -1(t + 8) = 2 Reorder the terms: -7(-9 + t) + -1(t + 8) = 2 (-9 * -7 + t * -7) + -1(t + 8) = 2 (63 + -7t) + -1(t + 8) = 2 Reorder the terms: 63 + -7t + -1(8 + t) = 2 63 + -7t + (8 * -1 + t * -1) = 2 63 + -7t + (-8 + -1t) = 2 Reorder the terms: 63 + -8 + -7t + -1t = 2 Combine like terms: 63 + -8 = 55 55 + -7t + -1t = 2 Combine like terms: -7t + -1t = -8t 55 + -8t = 2 Solving 55 + -8t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8t = 2 + -55 Combine like terms: 55 + -55 = 0 0 + -8t = 2 + -55 -8t = 2 + -55 Combine like terms: 2 + -55 = -53 -8t = -53 Divide each side by '-8'. t = 6.625 Simplifying t = 6.625
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