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Simplifying -9(t + -7) + -1(t + 6) = 2 Reorder the terms: -9(-7 + t) + -1(t + 6) = 2 (-7 * -9 + t * -9) + -1(t + 6) = 2 (63 + -9t) + -1(t + 6) = 2 Reorder the terms: 63 + -9t + -1(6 + t) = 2 63 + -9t + (6 * -1 + t * -1) = 2 63 + -9t + (-6 + -1t) = 2 Reorder the terms: 63 + -6 + -9t + -1t = 2 Combine like terms: 63 + -6 = 57 57 + -9t + -1t = 2 Combine like terms: -9t + -1t = -10t 57 + -10t = 2 Solving 57 + -10t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -10t = 2 + -57 Combine like terms: 57 + -57 = 0 0 + -10t = 2 + -57 -10t = 2 + -57 Combine like terms: 2 + -57 = -55 -10t = -55 Divide each side by '-10'. t = 5.5 Simplifying t = 5.5
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