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Simplifying -7(6b + -7) = -5b + 12 Reorder the terms: -7(-7 + 6b) = -5b + 12 (-7 * -7 + 6b * -7) = -5b + 12 (49 + -42b) = -5b + 12 Reorder the terms: 49 + -42b = 12 + -5b Solving 49 + -42b = 12 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 49 + -42b + 5b = 12 + -5b + 5b Combine like terms: -42b + 5b = -37b 49 + -37b = 12 + -5b + 5b Combine like terms: -5b + 5b = 0 49 + -37b = 12 + 0 49 + -37b = 12 Add '-49' to each side of the equation. 49 + -49 + -37b = 12 + -49 Combine like terms: 49 + -49 = 0 0 + -37b = 12 + -49 -37b = 12 + -49 Combine like terms: 12 + -49 = -37 -37b = -37 Divide each side by '-37'. b = 1 Simplifying b = 1
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