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Simplifying -7(-19b + -7) = 6(20b + -14) + 14b Reorder the terms: -7(-7 + -19b) = 6(20b + -14) + 14b (-7 * -7 + -19b * -7) = 6(20b + -14) + 14b (49 + 133b) = 6(20b + -14) + 14b Reorder the terms: 49 + 133b = 6(-14 + 20b) + 14b 49 + 133b = (-14 * 6 + 20b * 6) + 14b 49 + 133b = (-84 + 120b) + 14b Combine like terms: 120b + 14b = 134b 49 + 133b = -84 + 134b Solving 49 + 133b = -84 + 134b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-134b' to each side of the equation. 49 + 133b + -134b = -84 + 134b + -134b Combine like terms: 133b + -134b = -1b 49 + -1b = -84 + 134b + -134b Combine like terms: 134b + -134b = 0 49 + -1b = -84 + 0 49 + -1b = -84 Add '-49' to each side of the equation. 49 + -49 + -1b = -84 + -49 Combine like terms: 49 + -49 = 0 0 + -1b = -84 + -49 -1b = -84 + -49 Combine like terms: -84 + -49 = -133 -1b = -133 Divide each side by '-1'. b = 133 Simplifying b = 133
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