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Simplifying 2(-7b + -3) + 5b = -18 + -7b Reorder the terms: 2(-3 + -7b) + 5b = -18 + -7b (-3 * 2 + -7b * 2) + 5b = -18 + -7b (-6 + -14b) + 5b = -18 + -7b Combine like terms: -14b + 5b = -9b -6 + -9b = -18 + -7b Solving -6 + -9b = -18 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -6 + -9b + 7b = -18 + -7b + 7b Combine like terms: -9b + 7b = -2b -6 + -2b = -18 + -7b + 7b Combine like terms: -7b + 7b = 0 -6 + -2b = -18 + 0 -6 + -2b = -18 Add '6' to each side of the equation. -6 + 6 + -2b = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -2b = -18 + 6 -2b = -18 + 6 Combine like terms: -18 + 6 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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