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Simplifying -189 = 4(6b + -4) + -5 Reorder the terms: -189 = 4(-4 + 6b) + -5 -189 = (-4 * 4 + 6b * 4) + -5 -189 = (-16 + 24b) + -5 Reorder the terms: -189 = -16 + -5 + 24b Combine like terms: -16 + -5 = -21 -189 = -21 + 24b Solving -189 = -21 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -189 + -24b = -21 + 24b + -24b Combine like terms: 24b + -24b = 0 -189 + -24b = -21 + 0 -189 + -24b = -21 Add '189' to each side of the equation. -189 + 189 + -24b = -21 + 189 Combine like terms: -189 + 189 = 0 0 + -24b = -21 + 189 -24b = -21 + 189 Combine like terms: -21 + 189 = 168 -24b = 168 Divide each side by '-24'. b = -7 Simplifying b = -7
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