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Simplifying 10 + -3(2b + 4) = -4b + -2(5 + -1b) Reorder the terms: 10 + -3(4 + 2b) = -4b + -2(5 + -1b) 10 + (4 * -3 + 2b * -3) = -4b + -2(5 + -1b) 10 + (-12 + -6b) = -4b + -2(5 + -1b) Combine like terms: 10 + -12 = -2 -2 + -6b = -4b + -2(5 + -1b) -2 + -6b = -4b + (5 * -2 + -1b * -2) -2 + -6b = -4b + (-10 + 2b) Reorder the terms: -2 + -6b = -10 + -4b + 2b Combine like terms: -4b + 2b = -2b -2 + -6b = -10 + -2b Solving -2 + -6b = -10 + -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. -2 + -6b + 2b = -10 + -2b + 2b Combine like terms: -6b + 2b = -4b -2 + -4b = -10 + -2b + 2b Combine like terms: -2b + 2b = 0 -2 + -4b = -10 + 0 -2 + -4b = -10 Add '2' to each side of the equation. -2 + 2 + -4b = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -4b = -10 + 2 -4b = -10 + 2 Combine like terms: -10 + 2 = -8 -4b = -8 Divide each side by '-4'. b = 2 Simplifying b = 2
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