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Simplifying -5t + 2(3t + 2) = 2(4t + -3) + -4 Reorder the terms: -5t + 2(2 + 3t) = 2(4t + -3) + -4 -5t + (2 * 2 + 3t * 2) = 2(4t + -3) + -4 -5t + (4 + 6t) = 2(4t + -3) + -4 Reorder the terms: 4 + -5t + 6t = 2(4t + -3) + -4 Combine like terms: -5t + 6t = 1t 4 + 1t = 2(4t + -3) + -4 Reorder the terms: 4 + 1t = 2(-3 + 4t) + -4 4 + 1t = (-3 * 2 + 4t * 2) + -4 4 + 1t = (-6 + 8t) + -4 Reorder the terms: 4 + 1t = -6 + -4 + 8t Combine like terms: -6 + -4 = -10 4 + 1t = -10 + 8t Solving 4 + 1t = -10 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 4 + 1t + -8t = -10 + 8t + -8t Combine like terms: 1t + -8t = -7t 4 + -7t = -10 + 8t + -8t Combine like terms: 8t + -8t = 0 4 + -7t = -10 + 0 4 + -7t = -10 Add '-4' to each side of the equation. 4 + -4 + -7t = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -10 + -4 -7t = -10 + -4 Combine like terms: -10 + -4 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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