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Simplifying 2(4B + -4) + 3b + 2 = 61 Reorder the terms: 2(-4 + 4B) + 3b + 2 = 61 (-4 * 2 + 4B * 2) + 3b + 2 = 61 (-8 + 8B) + 3b + 2 = 61 Reorder the terms: -8 + 2 + 8B + 3b = 61 Combine like terms: -8 + 2 = -6 -6 + 8B + 3b = 61 Solving -6 + 8B + 3b = 61 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 8B + 6 + 3b = 61 + 6 Reorder the terms: -6 + 6 + 8B + 3b = 61 + 6 Combine like terms: -6 + 6 = 0 0 + 8B + 3b = 61 + 6 8B + 3b = 61 + 6 Combine like terms: 61 + 6 = 67 8B + 3b = 67 Add '-3b' to each side of the equation. 8B + 3b + -3b = 67 + -3b Combine like terms: 3b + -3b = 0 8B + 0 = 67 + -3b 8B = 67 + -3b Divide each side by '8'. B = 8.375 + -0.375b Simplifying B = 8.375 + -0.375b
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