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Simplifying -7(t + -3) + -1(t + 9) = 2 Reorder the terms: -7(-3 + t) + -1(t + 9) = 2 (-3 * -7 + t * -7) + -1(t + 9) = 2 (21 + -7t) + -1(t + 9) = 2 Reorder the terms: 21 + -7t + -1(9 + t) = 2 21 + -7t + (9 * -1 + t * -1) = 2 21 + -7t + (-9 + -1t) = 2 Reorder the terms: 21 + -9 + -7t + -1t = 2 Combine like terms: 21 + -9 = 12 12 + -7t + -1t = 2 Combine like terms: -7t + -1t = -8t 12 + -8t = 2 Solving 12 + -8t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -8t = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -8t = 2 + -12 -8t = 2 + -12 Combine like terms: 2 + -12 = -10 -8t = -10 Divide each side by '-8'. t = 1.25 Simplifying t = 1.25
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