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Simplifying -7(t + -2) + -1(t + -4) = 3 Reorder the terms: -7(-2 + t) + -1(t + -4) = 3 (-2 * -7 + t * -7) + -1(t + -4) = 3 (14 + -7t) + -1(t + -4) = 3 Reorder the terms: 14 + -7t + -1(-4 + t) = 3 14 + -7t + (-4 * -1 + t * -1) = 3 14 + -7t + (4 + -1t) = 3 Reorder the terms: 14 + 4 + -7t + -1t = 3 Combine like terms: 14 + 4 = 18 18 + -7t + -1t = 3 Combine like terms: -7t + -1t = -8t 18 + -8t = 3 Solving 18 + -8t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -8t = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -8t = 3 + -18 -8t = 3 + -18 Combine like terms: 3 + -18 = -15 -8t = -15 Divide each side by '-8'. t = 1.875 Simplifying t = 1.875
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