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Simplifying -7(t + -7) + -1(t + 7) = 4 Reorder the terms: -7(-7 + t) + -1(t + 7) = 4 (-7 * -7 + t * -7) + -1(t + 7) = 4 (49 + -7t) + -1(t + 7) = 4 Reorder the terms: 49 + -7t + -1(7 + t) = 4 49 + -7t + (7 * -1 + t * -1) = 4 49 + -7t + (-7 + -1t) = 4 Reorder the terms: 49 + -7 + -7t + -1t = 4 Combine like terms: 49 + -7 = 42 42 + -7t + -1t = 4 Combine like terms: -7t + -1t = -8t 42 + -8t = 4 Solving 42 + -8t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -8t = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -8t = 4 + -42 -8t = 4 + -42 Combine like terms: 4 + -42 = -38 -8t = -38 Divide each side by '-8'. t = 4.75 Simplifying t = 4.75
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