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Simplifying 2(b + -1) = 4(b + 6) + -10 Reorder the terms: 2(-1 + b) = 4(b + 6) + -10 (-1 * 2 + b * 2) = 4(b + 6) + -10 (-2 + 2b) = 4(b + 6) + -10 Reorder the terms: -2 + 2b = 4(6 + b) + -10 -2 + 2b = (6 * 4 + b * 4) + -10 -2 + 2b = (24 + 4b) + -10 Reorder the terms: -2 + 2b = 24 + -10 + 4b Combine like terms: 24 + -10 = 14 -2 + 2b = 14 + 4b Solving -2 + 2b = 14 + 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. -2 + 2b + -4b = 14 + 4b + -4b Combine like terms: 2b + -4b = -2b -2 + -2b = 14 + 4b + -4b Combine like terms: 4b + -4b = 0 -2 + -2b = 14 + 0 -2 + -2b = 14 Add '2' to each side of the equation. -2 + 2 + -2b = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2b = 14 + 2 -2b = 14 + 2 Combine like terms: 14 + 2 = 16 -2b = 16 Divide each side by '-2'. b = -8 Simplifying b = -8
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