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Simplifying -6(6b + -7) = -7(7b + -6) Reorder the terms: -6(-7 + 6b) = -7(7b + -6) (-7 * -6 + 6b * -6) = -7(7b + -6) (42 + -36b) = -7(7b + -6) Reorder the terms: 42 + -36b = -7(-6 + 7b) 42 + -36b = (-6 * -7 + 7b * -7) 42 + -36b = (42 + -49b) Add '-42' to each side of the equation. 42 + -42 + -36b = 42 + -42 + -49b Combine like terms: 42 + -42 = 0 0 + -36b = 42 + -42 + -49b -36b = 42 + -42 + -49b Combine like terms: 42 + -42 = 0 -36b = 0 + -49b -36b = -49b Solving -36b = -49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49b' to each side of the equation. -36b + 49b = -49b + 49b Combine like terms: -36b + 49b = 13b 13b = -49b + 49b Combine like terms: -49b + 49b = 0 13b = 0 Divide each side by '13'. b = 0 Simplifying b = 0
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