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Simplifying 172 = 4b + 4(7 + 8b) 172 = 4b + (7 * 4 + 8b * 4) 172 = 4b + (28 + 32b) Reorder the terms: 172 = 28 + 4b + 32b Combine like terms: 4b + 32b = 36b 172 = 28 + 36b Solving 172 = 28 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. 172 + -36b = 28 + 36b + -36b Combine like terms: 36b + -36b = 0 172 + -36b = 28 + 0 172 + -36b = 28 Add '-172' to each side of the equation. 172 + -172 + -36b = 28 + -172 Combine like terms: 172 + -172 = 0 0 + -36b = 28 + -172 -36b = 28 + -172 Combine like terms: 28 + -172 = -144 -36b = -144 Divide each side by '-36'. b = 4 Simplifying b = 4
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