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Simplifying -5(4t + -4) + 8 = 3t + -8 Reorder the terms: -5(-4 + 4t) + 8 = 3t + -8 (-4 * -5 + 4t * -5) + 8 = 3t + -8 (20 + -20t) + 8 = 3t + -8 Reorder the terms: 20 + 8 + -20t = 3t + -8 Combine like terms: 20 + 8 = 28 28 + -20t = 3t + -8 Reorder the terms: 28 + -20t = -8 + 3t Solving 28 + -20t = -8 + 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. 28 + -20t + -3t = -8 + 3t + -3t Combine like terms: -20t + -3t = -23t 28 + -23t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 28 + -23t = -8 + 0 28 + -23t = -8 Add '-28' to each side of the equation. 28 + -28 + -23t = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -23t = -8 + -28 -23t = -8 + -28 Combine like terms: -8 + -28 = -36 -23t = -36 Divide each side by '-23'. t = 1.565217391 Simplifying t = 1.565217391
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