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Simplifying -5(4t + -4) + 3t = 6t + -2 Reorder the terms: -5(-4 + 4t) + 3t = 6t + -2 (-4 * -5 + 4t * -5) + 3t = 6t + -2 (20 + -20t) + 3t = 6t + -2 Combine like terms: -20t + 3t = -17t 20 + -17t = 6t + -2 Reorder the terms: 20 + -17t = -2 + 6t Solving 20 + -17t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 20 + -17t + -6t = -2 + 6t + -6t Combine like terms: -17t + -6t = -23t 20 + -23t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -23t = -2 + 0 20 + -23t = -2 Add '-20' to each side of the equation. 20 + -20 + -23t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -23t = -2 + -20 -23t = -2 + -20 Combine like terms: -2 + -20 = -22 -23t = -22 Divide each side by '-23'. t = 0.9565217391 Simplifying t = 0.9565217391
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