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Simplifying 16 = 4(b + -3) + 7(4 + 4b) Reorder the terms: 16 = 4(-3 + b) + 7(4 + 4b) 16 = (-3 * 4 + b * 4) + 7(4 + 4b) 16 = (-12 + 4b) + 7(4 + 4b) 16 = -12 + 4b + (4 * 7 + 4b * 7) 16 = -12 + 4b + (28 + 28b) Reorder the terms: 16 = -12 + 28 + 4b + 28b Combine like terms: -12 + 28 = 16 16 = 16 + 4b + 28b Combine like terms: 4b + 28b = 32b 16 = 16 + 32b Add '-16' to each side of the equation. 16 + -16 = 16 + -16 + 32b Combine like terms: 16 + -16 = 0 0 = 16 + -16 + 32b Combine like terms: 16 + -16 = 0 0 = 0 + 32b 0 = 32b Solving 0 = 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 0 + -32b = 32b + -32b Remove the zero: -32b = 32b + -32b Combine like terms: 32b + -32b = 0 -32b = 0 Divide each side by '-32'. b = 0 Simplifying b = 0
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