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Simplifying (b + 3) * 3 = (b + -3) * 4 Reorder the terms: (3 + b) * 3 = (b + -3) * 4 Reorder the terms for easier multiplication: 3(3 + b) = (b + -3) * 4 (3 * 3 + b * 3) = (b + -3) * 4 (9 + 3b) = (b + -3) * 4 Reorder the terms: 9 + 3b = (-3 + b) * 4 Reorder the terms for easier multiplication: 9 + 3b = 4(-3 + b) 9 + 3b = (-3 * 4 + b * 4) 9 + 3b = (-12 + 4b) Solving 9 + 3b = -12 + 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 + 3b + -4b = -12 + 4b + -4b Combine like terms: 3b + -4b = -1b 9 + -1b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 9 + -1b = -12 + 0 9 + -1b = -12 Add '-9' to each side of the equation. 9 + -9 + -1b = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = -12 + -9 -1b = -12 + -9 Combine like terms: -12 + -9 = -21 -1b = -21 Divide each side by '-1'. b = 21 Simplifying b = 21
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