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Simplifying -2(3b + -5) + 7b = -4b + -18 Reorder the terms: -2(-5 + 3b) + 7b = -4b + -18 (-5 * -2 + 3b * -2) + 7b = -4b + -18 (10 + -6b) + 7b = -4b + -18 Combine like terms: -6b + 7b = 1b 10 + 1b = -4b + -18 Reorder the terms: 10 + 1b = -18 + -4b Solving 10 + 1b = -18 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 10 + 1b + 4b = -18 + -4b + 4b Combine like terms: 1b + 4b = 5b 10 + 5b = -18 + -4b + 4b Combine like terms: -4b + 4b = 0 10 + 5b = -18 + 0 10 + 5b = -18 Add '-10' to each side of the equation. 10 + -10 + 5b = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 5b = -18 + -10 5b = -18 + -10 Combine like terms: -18 + -10 = -28 5b = -28 Divide each side by '5'. b = -5.6 Simplifying b = -5.6
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