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Simplifying 4b + 7(1 + 5b) = -30 + 2b 4b + (1 * 7 + 5b * 7) = -30 + 2b 4b + (7 + 35b) = -30 + 2b Reorder the terms: 7 + 4b + 35b = -30 + 2b Combine like terms: 4b + 35b = 39b 7 + 39b = -30 + 2b Solving 7 + 39b = -30 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7 + 39b + -2b = -30 + 2b + -2b Combine like terms: 39b + -2b = 37b 7 + 37b = -30 + 2b + -2b Combine like terms: 2b + -2b = 0 7 + 37b = -30 + 0 7 + 37b = -30 Add '-7' to each side of the equation. 7 + -7 + 37b = -30 + -7 Combine like terms: 7 + -7 = 0 0 + 37b = -30 + -7 37b = -30 + -7 Combine like terms: -30 + -7 = -37 37b = -37 Divide each side by '37'. b = -1 Simplifying b = -1
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