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Simplifying -6b + -40 = -4(1 + 3b) Reorder the terms: -40 + -6b = -4(1 + 3b) -40 + -6b = (1 * -4 + 3b * -4) -40 + -6b = (-4 + -12b) Solving -40 + -6b = -4 + -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 + -6b + 12b = -4 + -12b + 12b Combine like terms: -6b + 12b = 6b -40 + 6b = -4 + -12b + 12b Combine like terms: -12b + 12b = 0 -40 + 6b = -4 + 0 -40 + 6b = -4 Add '40' to each side of the equation. -40 + 40 + 6b = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 6b = -4 + 40 6b = -4 + 40 Combine like terms: -4 + 40 = 36 6b = 36 Divide each side by '6'. b = 6 Simplifying b = 6
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