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Simplifying -9(t + -8) + -1(t + 7) = 1 Reorder the terms: -9(-8 + t) + -1(t + 7) = 1 (-8 * -9 + t * -9) + -1(t + 7) = 1 (72 + -9t) + -1(t + 7) = 1 Reorder the terms: 72 + -9t + -1(7 + t) = 1 72 + -9t + (7 * -1 + t * -1) = 1 72 + -9t + (-7 + -1t) = 1 Reorder the terms: 72 + -7 + -9t + -1t = 1 Combine like terms: 72 + -7 = 65 65 + -9t + -1t = 1 Combine like terms: -9t + -1t = -10t 65 + -10t = 1 Solving 65 + -10t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -10t = 1 + -65 Combine like terms: 65 + -65 = 0 0 + -10t = 1 + -65 -10t = 1 + -65 Combine like terms: 1 + -65 = -64 -10t = -64 Divide each side by '-10'. t = 6.4 Simplifying t = 6.4
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