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Simplifying 15(4t + -1) * 2 + 8(4t + -1) = 12 Reorder the terms: 15(-1 + 4t) * 2 + 8(4t + -1) = 12 Reorder the terms for easier multiplication: 15 * 2(-1 + 4t) + 8(4t + -1) = 12 Multiply 15 * 2 30(-1 + 4t) + 8(4t + -1) = 12 (-1 * 30 + 4t * 30) + 8(4t + -1) = 12 (-30 + 120t) + 8(4t + -1) = 12 Reorder the terms: -30 + 120t + 8(-1 + 4t) = 12 -30 + 120t + (-1 * 8 + 4t * 8) = 12 -30 + 120t + (-8 + 32t) = 12 Reorder the terms: -30 + -8 + 120t + 32t = 12 Combine like terms: -30 + -8 = -38 -38 + 120t + 32t = 12 Combine like terms: 120t + 32t = 152t -38 + 152t = 12 Solving -38 + 152t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 152t = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 152t = 12 + 38 152t = 12 + 38 Combine like terms: 12 + 38 = 50 152t = 50 Divide each side by '152'. t = 0.3289473684 Simplifying t = 0.3289473684
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