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Simplifying 2(b + -3) = 4(b + -4) + -10 Reorder the terms: 2(-3 + b) = 4(b + -4) + -10 (-3 * 2 + b * 2) = 4(b + -4) + -10 (-6 + 2b) = 4(b + -4) + -10 Reorder the terms: -6 + 2b = 4(-4 + b) + -10 -6 + 2b = (-4 * 4 + b * 4) + -10 -6 + 2b = (-16 + 4b) + -10 Reorder the terms: -6 + 2b = -16 + -10 + 4b Combine like terms: -16 + -10 = -26 -6 + 2b = -26 + 4b Solving -6 + 2b = -26 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -6 + 2b + -4b = -26 + 4b + -4b Combine like terms: 2b + -4b = -2b -6 + -2b = -26 + 4b + -4b Combine like terms: 4b + -4b = 0 -6 + -2b = -26 + 0 -6 + -2b = -26 Add '6' to each side of the equation. -6 + 6 + -2b = -26 + 6 Combine like terms: -6 + 6 = 0 0 + -2b = -26 + 6 -2b = -26 + 6 Combine like terms: -26 + 6 = -20 -2b = -20 Divide each side by '-2'. b = 10 Simplifying b = 10
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