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