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Simplifying 4(b + -3) + -6 = 2(b + 5) Reorder the terms: 4(-3 + b) + -6 = 2(b + 5) (-3 * 4 + b * 4) + -6 = 2(b + 5) (-12 + 4b) + -6 = 2(b + 5) Reorder the terms: -12 + -6 + 4b = 2(b + 5) Combine like terms: -12 + -6 = -18 -18 + 4b = 2(b + 5) Reorder the terms: -18 + 4b = 2(5 + b) -18 + 4b = (5 * 2 + b * 2) -18 + 4b = (10 + 2b) Solving -18 + 4b = 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. -18 + 4b + -2b = 10 + 2b + -2b Combine like terms: 4b + -2b = 2b -18 + 2b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + 2b = 10 + 0 -18 + 2b = 10 Add '18' to each side of the equation. -18 + 18 + 2b = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 2b = 10 + 18 2b = 10 + 18 Combine like terms: 10 + 18 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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