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Simplifying -6(b + 9) + -1 = 7b + -10 Reorder the terms: -6(9 + b) + -1 = 7b + -10 (9 * -6 + b * -6) + -1 = 7b + -10 (-54 + -6b) + -1 = 7b + -10 Reorder the terms: -54 + -1 + -6b = 7b + -10 Combine like terms: -54 + -1 = -55 -55 + -6b = 7b + -10 Reorder the terms: -55 + -6b = -10 + 7b Solving -55 + -6b = -10 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -55 + -6b + -7b = -10 + 7b + -7b Combine like terms: -6b + -7b = -13b -55 + -13b = -10 + 7b + -7b Combine like terms: 7b + -7b = 0 -55 + -13b = -10 + 0 -55 + -13b = -10 Add '55' to each side of the equation. -55 + 55 + -13b = -10 + 55 Combine like terms: -55 + 55 = 0 0 + -13b = -10 + 55 -13b = -10 + 55 Combine like terms: -10 + 55 = 45 -13b = 45 Divide each side by '-13'. b = -3.461538462 Simplifying b = -3.461538462
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