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Simplifying -7(t + -5) + -1(t + 3) = 9 Reorder the terms: -7(-5 + t) + -1(t + 3) = 9 (-5 * -7 + t * -7) + -1(t + 3) = 9 (35 + -7t) + -1(t + 3) = 9 Reorder the terms: 35 + -7t + -1(3 + t) = 9 35 + -7t + (3 * -1 + t * -1) = 9 35 + -7t + (-3 + -1t) = 9 Reorder the terms: 35 + -3 + -7t + -1t = 9 Combine like terms: 35 + -3 = 32 32 + -7t + -1t = 9 Combine like terms: -7t + -1t = -8t 32 + -8t = 9 Solving 32 + -8t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -8t = 9 + -32 Combine like terms: 32 + -32 = 0 0 + -8t = 9 + -32 -8t = 9 + -32 Combine like terms: 9 + -32 = -23 -8t = -23 Divide each side by '-8'. t = 2.875 Simplifying t = 2.875
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