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Simplifying -7(t + -2) + -1(t + 3) = 4 Reorder the terms: -7(-2 + t) + -1(t + 3) = 4 (-2 * -7 + t * -7) + -1(t + 3) = 4 (14 + -7t) + -1(t + 3) = 4 Reorder the terms: 14 + -7t + -1(3 + t) = 4 14 + -7t + (3 * -1 + t * -1) = 4 14 + -7t + (-3 + -1t) = 4 Reorder the terms: 14 + -3 + -7t + -1t = 4 Combine like terms: 14 + -3 = 11 11 + -7t + -1t = 4 Combine like terms: -7t + -1t = -8t 11 + -8t = 4 Solving 11 + -8t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8t = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -8t = 4 + -11 -8t = 4 + -11 Combine like terms: 4 + -11 = -7 -8t = -7 Divide each side by '-8'. t = 0.875 Simplifying t = 0.875
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