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Simplifying -40 + 2b = -3b + 5(4b + -2) Reorder the terms: -40 + 2b = -3b + 5(-2 + 4b) -40 + 2b = -3b + (-2 * 5 + 4b * 5) -40 + 2b = -3b + (-10 + 20b) Reorder the terms: -40 + 2b = -10 + -3b + 20b Combine like terms: -3b + 20b = 17b -40 + 2b = -10 + 17b Solving -40 + 2b = -10 + 17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. -40 + 2b + -17b = -10 + 17b + -17b Combine like terms: 2b + -17b = -15b -40 + -15b = -10 + 17b + -17b Combine like terms: 17b + -17b = 0 -40 + -15b = -10 + 0 -40 + -15b = -10 Add '40' to each side of the equation. -40 + 40 + -15b = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -15b = -10 + 40 -15b = -10 + 40 Combine like terms: -10 + 40 = 30 -15b = 30 Divide each side by '-15'. b = -2 Simplifying b = -2
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