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Simplifying 6b + 4 + -1b = 6(b + -9) + 5 Reorder the terms: 4 + 6b + -1b = 6(b + -9) + 5 Combine like terms: 6b + -1b = 5b 4 + 5b = 6(b + -9) + 5 Reorder the terms: 4 + 5b = 6(-9 + b) + 5 4 + 5b = (-9 * 6 + b * 6) + 5 4 + 5b = (-54 + 6b) + 5 Reorder the terms: 4 + 5b = -54 + 5 + 6b Combine like terms: -54 + 5 = -49 4 + 5b = -49 + 6b Solving 4 + 5b = -49 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 4 + 5b + -6b = -49 + 6b + -6b Combine like terms: 5b + -6b = -1b 4 + -1b = -49 + 6b + -6b Combine like terms: 6b + -6b = 0 4 + -1b = -49 + 0 4 + -1b = -49 Add '-4' to each side of the equation. 4 + -4 + -1b = -49 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -49 + -4 -1b = -49 + -4 Combine like terms: -49 + -4 = -53 -1b = -53 Divide each side by '-1'. b = 53 Simplifying b = 53
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