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Simplifying 4(b + -7) = 2(4b + 7) Reorder the terms: 4(-7 + b) = 2(4b + 7) (-7 * 4 + b * 4) = 2(4b + 7) (-28 + 4b) = 2(4b + 7) Reorder the terms: -28 + 4b = 2(7 + 4b) -28 + 4b = (7 * 2 + 4b * 2) -28 + 4b = (14 + 8b) Solving -28 + 4b = 14 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -28 + 4b + -8b = 14 + 8b + -8b Combine like terms: 4b + -8b = -4b -28 + -4b = 14 + 8b + -8b Combine like terms: 8b + -8b = 0 -28 + -4b = 14 + 0 -28 + -4b = 14 Add '28' to each side of the equation. -28 + 28 + -4b = 14 + 28 Combine like terms: -28 + 28 = 0 0 + -4b = 14 + 28 -4b = 14 + 28 Combine like terms: 14 + 28 = 42 -4b = 42 Divide each side by '-4'. b = -10.5 Simplifying b = -10.5
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