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Simplifying -2(t + -4) + 5t = 7t + -9 Reorder the terms: -2(-4 + t) + 5t = 7t + -9 (-4 * -2 + t * -2) + 5t = 7t + -9 (8 + -2t) + 5t = 7t + -9 Combine like terms: -2t + 5t = 3t 8 + 3t = 7t + -9 Reorder the terms: 8 + 3t = -9 + 7t Solving 8 + 3t = -9 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + 3t + -7t = -9 + 7t + -7t Combine like terms: 3t + -7t = -4t 8 + -4t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -4t = -9 + 0 8 + -4t = -9 Add '-8' to each side of the equation. 8 + -8 + -4t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -9 + -8 -4t = -9 + -8 Combine like terms: -9 + -8 = -17 -4t = -17 Divide each side by '-4'. t = 4.25 Simplifying t = 4.25
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