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Simplifying -5(4t + -4) + 3t = 2t + -7 Reorder the terms: -5(-4 + 4t) + 3t = 2t + -7 (-4 * -5 + 4t * -5) + 3t = 2t + -7 (20 + -20t) + 3t = 2t + -7 Combine like terms: -20t + 3t = -17t 20 + -17t = 2t + -7 Reorder the terms: 20 + -17t = -7 + 2t Solving 20 + -17t = -7 + 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. 20 + -17t + -2t = -7 + 2t + -2t Combine like terms: -17t + -2t = -19t 20 + -19t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 20 + -19t = -7 + 0 20 + -19t = -7 Add '-20' to each side of the equation. 20 + -20 + -19t = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -7 + -20 -19t = -7 + -20 Combine like terms: -7 + -20 = -27 -19t = -27 Divide each side by '-19'. t = 1.421052632 Simplifying t = 1.421052632
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