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Simplifying -3(1 + -4) + -2(t + 4) = 9 Combine like terms: 1 + -4 = -3 -3(-3) + -2(t + 4) = 9 Multiply -3 * -3 9 + -2(t + 4) = 9 Reorder the terms: 9 + -2(4 + t) = 9 9 + (4 * -2 + t * -2) = 9 9 + (-8 + -2t) = 9 Combine like terms: 9 + -8 = 1 1 + -2t = 9 Solving 1 + -2t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 9 + -1 -2t = 9 + -1 Combine like terms: 9 + -1 = 8 -2t = 8 Divide each side by '-2'. t = -4 Simplifying t = -4
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