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Simplifying 4(b + -2) = 10 + -2(b + 3) Reorder the terms: 4(-2 + b) = 10 + -2(b + 3) (-2 * 4 + b * 4) = 10 + -2(b + 3) (-8 + 4b) = 10 + -2(b + 3) Reorder the terms: -8 + 4b = 10 + -2(3 + b) -8 + 4b = 10 + (3 * -2 + b * -2) -8 + 4b = 10 + (-6 + -2b) Combine like terms: 10 + -6 = 4 -8 + 4b = 4 + -2b Solving -8 + 4b = 4 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -8 + 4b + 2b = 4 + -2b + 2b Combine like terms: 4b + 2b = 6b -8 + 6b = 4 + -2b + 2b Combine like terms: -2b + 2b = 0 -8 + 6b = 4 + 0 -8 + 6b = 4 Add '8' to each side of the equation. -8 + 8 + 6b = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 6b = 4 + 8 6b = 4 + 8 Combine like terms: 4 + 8 = 12 6b = 12 Divide each side by '6'. b = 2 Simplifying b = 2
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