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Simplifying -2(t + -5) + 9t = 4t + -6 Reorder the terms: -2(-5 + t) + 9t = 4t + -6 (-5 * -2 + t * -2) + 9t = 4t + -6 (10 + -2t) + 9t = 4t + -6 Combine like terms: -2t + 9t = 7t 10 + 7t = 4t + -6 Reorder the terms: 10 + 7t = -6 + 4t Solving 10 + 7t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 10 + 7t + -4t = -6 + 4t + -4t Combine like terms: 7t + -4t = 3t 10 + 3t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + 3t = -6 + 0 10 + 3t = -6 Add '-10' to each side of the equation. 10 + -10 + 3t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = -6 + -10 3t = -6 + -10 Combine like terms: -6 + -10 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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