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Simplifying -7(t + -8) + -1(t + 9) = 6 Reorder the terms: -7(-8 + t) + -1(t + 9) = 6 (-8 * -7 + t * -7) + -1(t + 9) = 6 (56 + -7t) + -1(t + 9) = 6 Reorder the terms: 56 + -7t + -1(9 + t) = 6 56 + -7t + (9 * -1 + t * -1) = 6 56 + -7t + (-9 + -1t) = 6 Reorder the terms: 56 + -9 + -7t + -1t = 6 Combine like terms: 56 + -9 = 47 47 + -7t + -1t = 6 Combine like terms: -7t + -1t = -8t 47 + -8t = 6 Solving 47 + -8t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -8t = 6 + -47 Combine like terms: 47 + -47 = 0 0 + -8t = 6 + -47 -8t = 6 + -47 Combine like terms: 6 + -47 = -41 -8t = -41 Divide each side by '-8'. t = 5.125 Simplifying t = 5.125
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