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Simplifying -109 = 4(13b + -12) + 9b Reorder the terms: -109 = 4(-12 + 13b) + 9b -109 = (-12 * 4 + 13b * 4) + 9b -109 = (-48 + 52b) + 9b Combine like terms: 52b + 9b = 61b -109 = -48 + 61b Solving -109 = -48 + 61b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-61b' to each side of the equation. -109 + -61b = -48 + 61b + -61b Combine like terms: 61b + -61b = 0 -109 + -61b = -48 + 0 -109 + -61b = -48 Add '109' to each side of the equation. -109 + 109 + -61b = -48 + 109 Combine like terms: -109 + 109 = 0 0 + -61b = -48 + 109 -61b = -48 + 109 Combine like terms: -48 + 109 = 61 -61b = 61 Divide each side by '-61'. b = -1 Simplifying b = -1
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