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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 = 6b -2 + -6b = -10 + 6b Solving -2 + -6b = -10 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -2 + -6b + -6b = -10 + 6b + -6b Combine like terms: -6b + -6b = -12b -2 + -12b = -10 + 6b + -6b Combine like terms: 6b + -6b = 0 -2 + -12b = -10 + 0 -2 + -12b = -10 Add '2' to each side of the equation. -2 + 2 + -12b = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -12b = -10 + 2 -12b = -10 + 2 Combine like terms: -10 + 2 = -8 -12b = -8 Divide each side by '-12'. b = 0.6666666667 Simplifying b = 0.6666666667
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