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Simplifying 9 = 4(b + 2) + -7 Reorder the terms: 9 = 4(2 + b) + -7 9 = (2 * 4 + b * 4) + -7 9 = (8 + 4b) + -7 Reorder the terms: 9 = 8 + -7 + 4b Combine like terms: 8 + -7 = 1 9 = 1 + 4b Solving 9 = 1 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 9 + -4b = 1 + 4b + -4b Combine like terms: 4b + -4b = 0 9 + -4b = 1 + 0 9 + -4b = 1 Add '-9' to each side of the equation. 9 + -9 + -4b = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 1 + -9 -4b = 1 + -9 Combine like terms: 1 + -9 = -8 -4b = -8 Divide each side by '-4'. b = 2 Simplifying b = 2
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