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Simplifying -2(t + -4) + 9t = 4t + -7 Reorder the terms: -2(-4 + t) + 9t = 4t + -7 (-4 * -2 + t * -2) + 9t = 4t + -7 (8 + -2t) + 9t = 4t + -7 Combine like terms: -2t + 9t = 7t 8 + 7t = 4t + -7 Reorder the terms: 8 + 7t = -7 + 4t Solving 8 + 7t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + 7t + -4t = -7 + 4t + -4t Combine like terms: 7t + -4t = 3t 8 + 3t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + 3t = -7 + 0 8 + 3t = -7 Add '-8' to each side of the equation. 8 + -8 + 3t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = -7 + -8 3t = -7 + -8 Combine like terms: -7 + -8 = -15 3t = -15 Divide each side by '3'. t = -5 Simplifying t = -5
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