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Simplifying -2(2b + 4) + (5b + -7) = 0 Reorder the terms: -2(4 + 2b) + (5b + -7) = 0 (4 * -2 + 2b * -2) + (5b + -7) = 0 (-8 + -4b) + (5b + -7) = 0 Reorder the terms: -8 + -4b + (-7 + 5b) = 0 Remove parenthesis around (-7 + 5b) -8 + -4b + -7 + 5b = 0 Reorder the terms: -8 + -7 + -4b + 5b = 0 Combine like terms: -8 + -7 = -15 -15 + -4b + 5b = 0 Combine like terms: -4b + 5b = 1b -15 + 1b = 0 Solving -15 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 0 + 15 1b = 0 + 15 Combine like terms: 0 + 15 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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