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Simplifying -7(t + -4) + -1(t + 9) = 5 Reorder the terms: -7(-4 + t) + -1(t + 9) = 5 (-4 * -7 + t * -7) + -1(t + 9) = 5 (28 + -7t) + -1(t + 9) = 5 Reorder the terms: 28 + -7t + -1(9 + t) = 5 28 + -7t + (9 * -1 + t * -1) = 5 28 + -7t + (-9 + -1t) = 5 Reorder the terms: 28 + -9 + -7t + -1t = 5 Combine like terms: 28 + -9 = 19 19 + -7t + -1t = 5 Combine like terms: -7t + -1t = -8t 19 + -8t = 5 Solving 19 + -8t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8t = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -8t = 5 + -19 -8t = 5 + -19 Combine like terms: 5 + -19 = -14 -8t = -14 Divide each side by '-8'. t = 1.75 Simplifying t = 1.75
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