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Simplifying -2(t + -2) + 5t = 7t + -5 Reorder the terms: -2(-2 + t) + 5t = 7t + -5 (-2 * -2 + t * -2) + 5t = 7t + -5 (4 + -2t) + 5t = 7t + -5 Combine like terms: -2t + 5t = 3t 4 + 3t = 7t + -5 Reorder the terms: 4 + 3t = -5 + 7t Solving 4 + 3t = -5 + 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. 4 + 3t + -7t = -5 + 7t + -7t Combine like terms: 3t + -7t = -4t 4 + -4t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -4t = -5 + 0 4 + -4t = -5 Add '-4' to each side of the equation. 4 + -4 + -4t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -4t = -5 + -4 -4t = -5 + -4 Combine like terms: -5 + -4 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25
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