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Simplifying -216 = 4(8b + 2) Reorder the terms: -216 = 4(2 + 8b) -216 = (2 * 4 + 8b * 4) -216 = (8 + 32b) Solving -216 = 8 + 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. -216 + -32b = 8 + 32b + -32b Combine like terms: 32b + -32b = 0 -216 + -32b = 8 + 0 -216 + -32b = 8 Add '216' to each side of the equation. -216 + 216 + -32b = 8 + 216 Combine like terms: -216 + 216 = 0 0 + -32b = 8 + 216 -32b = 8 + 216 Combine like terms: 8 + 216 = 224 -32b = 224 Divide each side by '-32'. b = -7 Simplifying b = -7
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