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Simplifying -2(t + -5) + 4t = 9t + -4 Reorder the terms: -2(-5 + t) + 4t = 9t + -4 (-5 * -2 + t * -2) + 4t = 9t + -4 (10 + -2t) + 4t = 9t + -4 Combine like terms: -2t + 4t = 2t 10 + 2t = 9t + -4 Reorder the terms: 10 + 2t = -4 + 9t Solving 10 + 2t = -4 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 10 + 2t + -9t = -4 + 9t + -9t Combine like terms: 2t + -9t = -7t 10 + -7t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + -7t = -4 + 0 10 + -7t = -4 Add '-10' to each side of the equation. 10 + -10 + -7t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -7t = -4 + -10 -7t = -4 + -10 Combine like terms: -4 + -10 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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