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Simplifying -14b + 10 + -6b = 20b + 30 + -15 + 40 Reorder the terms: 10 + -14b + -6b = 20b + 30 + -15 + 40 Combine like terms: -14b + -6b = -20b 10 + -20b = 20b + 30 + -15 + 40 Reorder the terms: 10 + -20b = 30 + -15 + 40 + 20b Combine like terms: 30 + -15 = 15 10 + -20b = 15 + 40 + 20b Combine like terms: 15 + 40 = 55 10 + -20b = 55 + 20b Solving 10 + -20b = 55 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 10 + -20b + -20b = 55 + 20b + -20b Combine like terms: -20b + -20b = -40b 10 + -40b = 55 + 20b + -20b Combine like terms: 20b + -20b = 0 10 + -40b = 55 + 0 10 + -40b = 55 Add '-10' to each side of the equation. 10 + -10 + -40b = 55 + -10 Combine like terms: 10 + -10 = 0 0 + -40b = 55 + -10 -40b = 55 + -10 Combine like terms: 55 + -10 = 45 -40b = 45 Divide each side by '-40'. b = -1.125 Simplifying b = -1.125
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