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Simplifying -204 = -6(6 + -7b) -204 = (6 * -6 + -7b * -6) -204 = (-36 + 42b) Solving -204 = -36 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. -204 + -42b = -36 + 42b + -42b Combine like terms: 42b + -42b = 0 -204 + -42b = -36 + 0 -204 + -42b = -36 Add '204' to each side of the equation. -204 + 204 + -42b = -36 + 204 Combine like terms: -204 + 204 = 0 0 + -42b = -36 + 204 -42b = -36 + 204 Combine like terms: -36 + 204 = 168 -42b = 168 Divide each side by '-42'. b = -4 Simplifying b = -4
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