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Simplifying 5(3t + -4) + 8t = 4t + -7 Reorder the terms: 5(-4 + 3t) + 8t = 4t + -7 (-4 * 5 + 3t * 5) + 8t = 4t + -7 (-20 + 15t) + 8t = 4t + -7 Combine like terms: 15t + 8t = 23t -20 + 23t = 4t + -7 Reorder the terms: -20 + 23t = -7 + 4t Solving -20 + 23t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -20 + 23t + -4t = -7 + 4t + -4t Combine like terms: 23t + -4t = 19t -20 + 19t = -7 + 4t + -4t Combine like terms: 4t + -4t = 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 = 13 19t = 13 Divide each side by '19'. t = 0.6842105263 Simplifying t = 0.6842105263
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