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Simplifying 2(3b + -4) + 2b + -4 = 2b + 10 Reorder the terms: 2(-4 + 3b) + 2b + -4 = 2b + 10 (-4 * 2 + 3b * 2) + 2b + -4 = 2b + 10 (-8 + 6b) + 2b + -4 = 2b + 10 Reorder the terms: -8 + -4 + 6b + 2b = 2b + 10 Combine like terms: -8 + -4 = -12 -12 + 6b + 2b = 2b + 10 Combine like terms: 6b + 2b = 8b -12 + 8b = 2b + 10 Reorder the terms: -12 + 8b = 10 + 2b Solving -12 + 8b = 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. -12 + 8b + -2b = 10 + 2b + -2b Combine like terms: 8b + -2b = 6b -12 + 6b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -12 + 6b = 10 + 0 -12 + 6b = 10 Add '12' to each side of the equation. -12 + 12 + 6b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = 10 + 12 6b = 10 + 12 Combine like terms: 10 + 12 = 22 6b = 22 Divide each side by '6'. b = 3.666666667 Simplifying b = 3.666666667
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