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Simplifying -8(t + -6) + -1(t + 1) = 5 Reorder the terms: -8(-6 + t) + -1(t + 1) = 5 (-6 * -8 + t * -8) + -1(t + 1) = 5 (48 + -8t) + -1(t + 1) = 5 Reorder the terms: 48 + -8t + -1(1 + t) = 5 48 + -8t + (1 * -1 + t * -1) = 5 48 + -8t + (-1 + -1t) = 5 Reorder the terms: 48 + -1 + -8t + -1t = 5 Combine like terms: 48 + -1 = 47 47 + -8t + -1t = 5 Combine like terms: -8t + -1t = -9t 47 + -9t = 5 Solving 47 + -9t = 5 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 + -9t = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -9t = 5 + -47 -9t = 5 + -47 Combine like terms: 5 + -47 = -42 -9t = -42 Divide each side by '-9'. t = 4.666666667 Simplifying t = 4.666666667
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