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Simplifying -7(t + -3) + -1(t + 4) = 3 Reorder the terms: -7(-3 + t) + -1(t + 4) = 3 (-3 * -7 + t * -7) + -1(t + 4) = 3 (21 + -7t) + -1(t + 4) = 3 Reorder the terms: 21 + -7t + -1(4 + t) = 3 21 + -7t + (4 * -1 + t * -1) = 3 21 + -7t + (-4 + -1t) = 3 Reorder the terms: 21 + -4 + -7t + -1t = 3 Combine like terms: 21 + -4 = 17 17 + -7t + -1t = 3 Combine like terms: -7t + -1t = -8t 17 + -8t = 3 Solving 17 + -8t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -8t = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -8t = 3 + -17 -8t = 3 + -17 Combine like terms: 3 + -17 = -14 -8t = -14 Divide each side by '-8'. t = 1.75 Simplifying t = 1.75
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