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Simplifying 2(t + -4) + 9 = -7 Reorder the terms: 2(-4 + t) + 9 = -7 (-4 * 2 + t * 2) + 9 = -7 (-8 + 2t) + 9 = -7 Reorder the terms: -8 + 9 + 2t = -7 Combine like terms: -8 + 9 = 1 1 + 2t = -7 Solving 1 + 2t = -7 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 = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = -7 + -1 2t = -7 + -1 Combine like terms: -7 + -1 = -8 2t = -8 Divide each side by '2'. t = -4 Simplifying t = -4
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