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Simplifying 249 = 4b + 7(-6b + 3) Reorder the terms: 249 = 4b + 7(3 + -6b) 249 = 4b + (3 * 7 + -6b * 7) 249 = 4b + (21 + -42b) Reorder the terms: 249 = 21 + 4b + -42b Combine like terms: 4b + -42b = -38b 249 = 21 + -38b Solving 249 = 21 + -38b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38b' to each side of the equation. 249 + 38b = 21 + -38b + 38b Combine like terms: -38b + 38b = 0 249 + 38b = 21 + 0 249 + 38b = 21 Add '-249' to each side of the equation. 249 + -249 + 38b = 21 + -249 Combine like terms: 249 + -249 = 0 0 + 38b = 21 + -249 38b = 21 + -249 Combine like terms: 21 + -249 = -228 38b = -228 Divide each side by '38'. b = -6 Simplifying b = -6
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