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Simplifying 6b + 40 = -4(1 + -7b) Reorder the terms: 40 + 6b = -4(1 + -7b) 40 + 6b = (1 * -4 + -7b * -4) 40 + 6b = (-4 + 28b) Solving 40 + 6b = -4 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 40 + 6b + -28b = -4 + 28b + -28b Combine like terms: 6b + -28b = -22b 40 + -22b = -4 + 28b + -28b Combine like terms: 28b + -28b = 0 40 + -22b = -4 + 0 40 + -22b = -4 Add '-40' to each side of the equation. 40 + -40 + -22b = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -22b = -4 + -40 -22b = -4 + -40 Combine like terms: -4 + -40 = -44 -22b = -44 Divide each side by '-22'. b = 2 Simplifying b = 2
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