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Simplifying -2(3t + -5) + 4t = 5t + -6 Reorder the terms: -2(-5 + 3t) + 4t = 5t + -6 (-5 * -2 + 3t * -2) + 4t = 5t + -6 (10 + -6t) + 4t = 5t + -6 Combine like terms: -6t + 4t = -2t 10 + -2t = 5t + -6 Reorder the terms: 10 + -2t = -6 + 5t Solving 10 + -2t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10 + -2t + -5t = -6 + 5t + -5t Combine like terms: -2t + -5t = -7t 10 + -7t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -7t = -6 + 0 10 + -7t = -6 Add '-10' to each side of the equation. 10 + -10 + -7t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -7t = -6 + -10 -7t = -6 + -10 Combine like terms: -6 + -10 = -16 -7t = -16 Divide each side by '-7'. t = 2.285714286 Simplifying t = 2.285714286
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