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Simplifying -40 + 5b = 2(1 + 6b) -40 + 5b = (1 * 2 + 6b * 2) -40 + 5b = (2 + 12b) Solving -40 + 5b = 2 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -40 + 5b + -12b = 2 + 12b + -12b Combine like terms: 5b + -12b = -7b -40 + -7b = 2 + 12b + -12b Combine like terms: 12b + -12b = 0 -40 + -7b = 2 + 0 -40 + -7b = 2 Add '40' to each side of the equation. -40 + 40 + -7b = 2 + 40 Combine like terms: -40 + 40 = 0 0 + -7b = 2 + 40 -7b = 2 + 40 Combine like terms: 2 + 40 = 42 -7b = 42 Divide each side by '-7'. b = -6 Simplifying b = -6
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