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Simplifying -5(4t + -3) + 3t = 2t + -9 Reorder the terms: -5(-3 + 4t) + 3t = 2t + -9 (-3 * -5 + 4t * -5) + 3t = 2t + -9 (15 + -20t) + 3t = 2t + -9 Combine like terms: -20t + 3t = -17t 15 + -17t = 2t + -9 Reorder the terms: 15 + -17t = -9 + 2t Solving 15 + -17t = -9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + -17t + -2t = -9 + 2t + -2t Combine like terms: -17t + -2t = -19t 15 + -19t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -19t = -9 + 0 15 + -19t = -9 Add '-15' to each side of the equation. 15 + -15 + -19t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -19t = -9 + -15 -19t = -9 + -15 Combine like terms: -9 + -15 = -24 -19t = -24 Divide each side by '-19'. t = 1.263157895 Simplifying t = 1.263157895
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