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Simplifying -3(2b + 4) = (b + 7) Reorder the terms: -3(4 + 2b) = (b + 7) (4 * -3 + 2b * -3) = (b + 7) (-12 + -6b) = (b + 7) Reorder the terms: -12 + -6b = (7 + b) Remove parenthesis around (7 + b) -12 + -6b = 7 + b Solving -12 + -6b = 7 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -12 + -6b + -1b = 7 + b + -1b Combine like terms: -6b + -1b = -7b -12 + -7b = 7 + b + -1b Combine like terms: b + -1b = 0 -12 + -7b = 7 + 0 -12 + -7b = 7 Add '12' to each side of the equation. -12 + 12 + -7b = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -7b = 7 + 12 -7b = 7 + 12 Combine like terms: 7 + 12 = 19 -7b = 19 Divide each side by '-7'. b = -2.714285714 Simplifying b = -2.714285714
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