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Simplifying 2(b + -6) + 8 = 4(b + 7) Reorder the terms: 2(-6 + b) + 8 = 4(b + 7) (-6 * 2 + b * 2) + 8 = 4(b + 7) (-12 + 2b) + 8 = 4(b + 7) Reorder the terms: -12 + 8 + 2b = 4(b + 7) Combine like terms: -12 + 8 = -4 -4 + 2b = 4(b + 7) Reorder the terms: -4 + 2b = 4(7 + b) -4 + 2b = (7 * 4 + b * 4) -4 + 2b = (28 + 4b) Solving -4 + 2b = 28 + 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. -4 + 2b + -4b = 28 + 4b + -4b Combine like terms: 2b + -4b = -2b -4 + -2b = 28 + 4b + -4b Combine like terms: 4b + -4b = 0 -4 + -2b = 28 + 0 -4 + -2b = 28 Add '4' to each side of the equation. -4 + 4 + -2b = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -2b = 28 + 4 -2b = 28 + 4 Combine like terms: 28 + 4 = 32 -2b = 32 Divide each side by '-2'. b = -16 Simplifying b = -16
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