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Simplifying -6(7b + -6) + -1b = -6b + -38 Reorder the terms: -6(-6 + 7b) + -1b = -6b + -38 (-6 * -6 + 7b * -6) + -1b = -6b + -38 (36 + -42b) + -1b = -6b + -38 Combine like terms: -42b + -1b = -43b 36 + -43b = -6b + -38 Reorder the terms: 36 + -43b = -38 + -6b Solving 36 + -43b = -38 + -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. 36 + -43b + 6b = -38 + -6b + 6b Combine like terms: -43b + 6b = -37b 36 + -37b = -38 + -6b + 6b Combine like terms: -6b + 6b = 0 36 + -37b = -38 + 0 36 + -37b = -38 Add '-36' to each side of the equation. 36 + -36 + -37b = -38 + -36 Combine like terms: 36 + -36 = 0 0 + -37b = -38 + -36 -37b = -38 + -36 Combine like terms: -38 + -36 = -74 -37b = -74 Divide each side by '-37'. b = 2 Simplifying b = 2
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