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Simplifying -8(t + -6) + -1(t + 2) = 10 Reorder the terms: -8(-6 + t) + -1(t + 2) = 10 (-6 * -8 + t * -8) + -1(t + 2) = 10 (48 + -8t) + -1(t + 2) = 10 Reorder the terms: 48 + -8t + -1(2 + t) = 10 48 + -8t + (2 * -1 + t * -1) = 10 48 + -8t + (-2 + -1t) = 10 Reorder the terms: 48 + -2 + -8t + -1t = 10 Combine like terms: 48 + -2 = 46 46 + -8t + -1t = 10 Combine like terms: -8t + -1t = -9t 46 + -9t = 10 Solving 46 + -9t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -9t = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -9t = 10 + -46 -9t = 10 + -46 Combine like terms: 10 + -46 = -36 -9t = -36 Divide each side by '-9'. t = 4 Simplifying t = 4
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