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Simplifying 10 + -3(2b + 4) = -4b + -2(5 + -6) Reorder the terms: 10 + -3(4 + 2b) = -4b + -2(5 + -6) 10 + (4 * -3 + 2b * -3) = -4b + -2(5 + -6) 10 + (-12 + -6b) = -4b + -2(5 + -6) Combine like terms: 10 + -12 = -2 -2 + -6b = -4b + -2(5 + -6) Combine like terms: 5 + -6 = -1 -2 + -6b = -4b + -2(-1) Multiply -2 * -1 -2 + -6b = -4b + 2 Reorder the terms: -2 + -6b = 2 + -4b Solving -2 + -6b = 2 + -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 + -6b + 4b = 2 + -4b + 4b Combine like terms: -6b + 4b = -2b -2 + -2b = 2 + -4b + 4b Combine like terms: -4b + 4b = 0 -2 + -2b = 2 + 0 -2 + -2b = 2 Add '2' to each side of the equation. -2 + 2 + -2b = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2b = 2 + 2 -2b = 2 + 2 Combine like terms: 2 + 2 = 4 -2b = 4 Divide each side by '-2'. b = -2 Simplifying b = -2
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