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Simplifying -7(t + -6) + -1(t + 9) = 3 Reorder the terms: -7(-6 + t) + -1(t + 9) = 3 (-6 * -7 + t * -7) + -1(t + 9) = 3 (42 + -7t) + -1(t + 9) = 3 Reorder the terms: 42 + -7t + -1(9 + t) = 3 42 + -7t + (9 * -1 + t * -1) = 3 42 + -7t + (-9 + -1t) = 3 Reorder the terms: 42 + -9 + -7t + -1t = 3 Combine like terms: 42 + -9 = 33 33 + -7t + -1t = 3 Combine like terms: -7t + -1t = -8t 33 + -8t = 3 Solving 33 + -8t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -8t = 3 + -33 Combine like terms: 33 + -33 = 0 0 + -8t = 3 + -33 -8t = 3 + -33 Combine like terms: 3 + -33 = -30 -8t = -30 Divide each side by '-8'. t = 3.75 Simplifying t = 3.75
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