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Simplifying -2(5 + 3b) + -2(6b + -7) = 40 (5 * -2 + 3b * -2) + -2(6b + -7) = 40 (-10 + -6b) + -2(6b + -7) = 40 Reorder the terms: -10 + -6b + -2(-7 + 6b) = 40 -10 + -6b + (-7 * -2 + 6b * -2) = 40 -10 + -6b + (14 + -12b) = 40 Reorder the terms: -10 + 14 + -6b + -12b = 40 Combine like terms: -10 + 14 = 4 4 + -6b + -12b = 40 Combine like terms: -6b + -12b = -18b 4 + -18b = 40 Solving 4 + -18b = 40 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -18b = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -18b = 40 + -4 -18b = 40 + -4 Combine like terms: 40 + -4 = 36 -18b = 36 Divide each side by '-18'. b = -2 Simplifying b = -2
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