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Simplifying -5(4t + -3) + 4t = 3t + -7 Reorder the terms: -5(-3 + 4t) + 4t = 3t + -7 (-3 * -5 + 4t * -5) + 4t = 3t + -7 (15 + -20t) + 4t = 3t + -7 Combine like terms: -20t + 4t = -16t 15 + -16t = 3t + -7 Reorder the terms: 15 + -16t = -7 + 3t Solving 15 + -16t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 15 + -16t + -3t = -7 + 3t + -3t Combine like terms: -16t + -3t = -19t 15 + -19t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -19t = -7 + 0 15 + -19t = -7 Add '-15' to each side of the equation. 15 + -15 + -19t = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -19t = -7 + -15 -19t = -7 + -15 Combine like terms: -7 + -15 = -22 -19t = -22 Divide each side by '-19'. t = 1.157894737 Simplifying t = 1.157894737
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