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Simplifying 7b(-2) + -1b(2 + 3) = 6(b + 2) Reorder the terms for easier multiplication: 7 * -2b + -1b(2 + 3) = 6(b + 2) Multiply 7 * -2 -14b + -1b(2 + 3) = 6(b + 2) Combine like terms: 2 + 3 = 5 -14b + -1b(5) = 6(b + 2) Reorder the terms for easier multiplication: -14b + -1 * 5b = 6(b + 2) Multiply -1 * 5 -14b + -5b = 6(b + 2) Combine like terms: -14b + -5b = -19b -19b = 6(b + 2) Reorder the terms: -19b = 6(2 + b) -19b = (2 * 6 + b * 6) -19b = (12 + 6b) Solving -19b = 12 + 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. -19b + -6b = 12 + 6b + -6b Combine like terms: -19b + -6b = -25b -25b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 -25b = 12 + 0 -25b = 12 Divide each side by '-25'. b = -0.48 Simplifying b = -0.48
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