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Simplifying 2b + 0.75(4x + 16) = 7 Reorder the terms: 2b + 0.75(16 + 4x) = 7 2b + (16 * 0.75 + 4x * 0.75) = 7 2b + (12 + 3x) = 7 Reorder the terms: 12 + 2b + 3x = 7 Solving 12 + 2b + 3x = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 3x = 7 + -12 Reorder the terms: 12 + -12 + 2b + 3x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 2b + 3x = 7 + -12 2b + 3x = 7 + -12 Combine like terms: 7 + -12 = -5 2b + 3x = -5 Add '-3x' to each side of the equation. 2b + 3x + -3x = -5 + -3x Combine like terms: 3x + -3x = 0 2b + 0 = -5 + -3x 2b = -5 + -3x Divide each side by '2'. b = -2.5 + -1.5x Simplifying b = -2.5 + -1.5x
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