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Simplifying -3(t + -5) + 9t = 4t + -3 Reorder the terms: -3(-5 + t) + 9t = 4t + -3 (-5 * -3 + t * -3) + 9t = 4t + -3 (15 + -3t) + 9t = 4t + -3 Combine like terms: -3t + 9t = 6t 15 + 6t = 4t + -3 Reorder the terms: 15 + 6t = -3 + 4t Solving 15 + 6t = -3 + 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. 15 + 6t + -4t = -3 + 4t + -4t Combine like terms: 6t + -4t = 2t 15 + 2t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 15 + 2t = -3 + 0 15 + 2t = -3 Add '-15' to each side of the equation. 15 + -15 + 2t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 2t = -3 + -15 2t = -3 + -15 Combine like terms: -3 + -15 = -18 2t = -18 Divide each side by '2'. t = -9 Simplifying t = -9
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