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Simplifying -40 = 2(5b + -6) + -6b + -4 Reorder the terms: -40 = 2(-6 + 5b) + -6b + -4 -40 = (-6 * 2 + 5b * 2) + -6b + -4 -40 = (-12 + 10b) + -6b + -4 Reorder the terms: -40 = -12 + -4 + 10b + -6b Combine like terms: -12 + -4 = -16 -40 = -16 + 10b + -6b Combine like terms: 10b + -6b = 4b -40 = -16 + 4b Solving -40 = -16 + 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. -40 + -4b = -16 + 4b + -4b Combine like terms: 4b + -4b = 0 -40 + -4b = -16 + 0 -40 + -4b = -16 Add '40' to each side of the equation. -40 + 40 + -4b = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -4b = -16 + 40 -4b = -16 + 40 Combine like terms: -16 + 40 = 24 -4b = 24 Divide each side by '-4'. b = -6 Simplifying b = -6
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