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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 = 34b -40 + 34b = 4 + -28b + 28b Combine like terms: -28b + 28b = 0 -40 + 34b = 4 + 0 -40 + 34b = 4 Add '40' to each side of the equation. -40 + 40 + 34b = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 34b = 4 + 40 34b = 4 + 40 Combine like terms: 4 + 40 = 44 34b = 44 Divide each side by '34'. b = 1.294117647 Simplifying b = 1.294117647
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